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Terry needs to purchase some pipe for a plumbing job that requires pip 27 Apr 2020, 14:17
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Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


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B
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Terry needs to purchase some pipe for a plumbing job that requires pip 01 May 2020, 16:02
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parkhydel
Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


PS80871.02
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The total length of pipes Terry needs is:

(1 ft 4 in) + (2 ft 8 in) + (3 ft 4 in) + (3 ft 8 in) + (4 ft 8 in) + (5 ft 8 in) + (9 ft 4 in)

27 ft 44 in = 27 ft + 36 in + 8 in = 27 ft + 3 ft + 8 in = 30 ft 8 in

Therefore, he needs to buy at least four 10-ft long pipes (since three 10-ft long pipes are just short of the total length of pipes he needs).

Let’s verify that four 10-ft long pipes can indeed be cut into the required lengths.

1) The 9 ft 4 in pipe will be cut from one of the 10-ft pipes. The remaining 8 inches of pipes cannot be used and will be wasted.

2) The 5 ft 8 in pipe will be cut from another 10-ft pipe. The remaining 4 ft 4 in pipe can be used to cut the 3 ft 8 in pipe or any shorter pipe. If it is used for the 3 ft 8 in pipe, the remaining 8 inches of pipe will be wasted.

3) The 4 ft 8 in pipe will be cut from another 10-ft pipe. We see that we have 5 ft 4 in of pipe left over. We can use this pipe to form either a 3 ft 4 in pipe and a 1 ft 4 in pipe, or a 2 ft 8 in pipe and a 1 ft 4 in pipe.

4) The remaining pipe (either 3 ft 4 in or 2 ft 8 in) will be cut from the last 10-ft pipe.

We see that it is possible to cut the pipes of required lengths from four 10-ft pipes.

Answer: B
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Terry needs to purchase some pipe for a plumbing job that requires pip 29 Apr 2020, 09:38
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total length of pipes ; feet ; 1+2+3+3+4+5+9 = 28 feet
and total inches ; 4+8+4+8+8+8+4 ; 44 inches ; ~3.6 feet
so total length in feet ; 28+3.6 ; 31.6 feet
so total pipes required ; 31.6/10 ; 3.16 ; since pipes are each 10 feet so 4 pipes required
hence option B


parkhydel
Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


PS80871.02
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Terry needs to purchase some pipe for a plumbing job that requires pip 27 Apr 2020, 14:34
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Sum of the length of the pipes > 30ft

So start with option B

One possible scenario-

[9'4''], [5'8",3"8"],[4'8",3'4",1'4"] and [2'8"]

B

parkhydel
Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


PS80871.02
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Terry needs to purchase some pipe for a plumbing job that requires pip 30 Apr 2020, 09:53
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parkhydel
Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


PS80871.02
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Simply sum the feet and the inches = 1 +2 + 3 + 3 + 4+ 5+ 9=28 ft
Total inches = 4+ 8 + 4 + 8 + 8 + 8 + 4 = (There are three combinations of 4 and 8 which will be a total o 3 feet and an additional 8 inch. Hence sum of all inches will be 3 feet and 8 inches.

Combining both we get 28 feet + 3 feet and 8 inches = 31 feet and 8 inch. Since the pipe sizes available are all in 10feets, we will need to buy 4 such pipes.

Answer is B
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Terry needs to purchase some pipe for a plumbing job that requires pip 30 Apr 2020, 10:12
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Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


PS80871.02
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Given:
1. Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in.
2. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths.

Asked: If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

1st 10-ft pipe: 9ft 4in
2nd 10-ft pipe: 5ft 8in + 3ft 8in
3rd 10-ft pipe: 4ft 8in + 3ft 4in
4th 10-ft pipe: 2ft 8in + 1ft 4in

IMO B
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Terry needs to purchase some pipe for a plumbing job that requires pip 02 Jul 2020, 22:44
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Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7

Soln: Quick time saving way for such questions will be

1 ft 4 in,
2 ft 8 in
3 ft 4 in
3 ft 8 in
4 ft 8 in
5 ft 8 in
9 ft 4 in.

Total of all values in Feet is 27

Note: 1 ft = 12 in

Look at values in inch... notice they are 4+8+4+8+8+8+4

8+4=12 so we have 3 pairs which totals to 12 i.e equivalent to 3 ft and we are left with one 8 ft.

So 27+ 3 Feet and 8 inch= 30 ft 8 inch.

10 ft is length of one pipe ..so we will need 4 pipes.

Hope this helps to save precious time.
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Terry needs to purchase some pipe for a plumbing job that requires pip 30 Dec 2020, 03:47
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parkhydel
Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


PS80871.02
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Hello! I will attempt to solve this problem that Terry seems to be having. I'm surprised it concerns plumbing and not yogurt.
Terry loves yogurt. (lol referencing Brooklyn nine-nine) Actually the other day, I changed my insurance finally https://generalliabilityinsure.com/smal ... rance.html

The 7 lengths of pipes that Terry needs = 30 feet + 8 inches
So Terry will need to buy about 4 pipes, each being 10 ft in length
However, Terry will need to cut the pieces:

1st pipe: 9 ft 4 inches
2nd pipe: 5 ft. 8 inches and 3 ft 8 inches
3rd pipe: 4 ft 8 inches

The correct answer should be B.

Please, let me know in case I am mistaken and what the correct answer should be.
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Terry needs to purchase some pipe for a plumbing job that requires pip 11 Jan 2021, 08:22
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1. 1 ft 4 in =12+4 = 16
2. 2 ft 8 in = 24+8 = 32
3. 3 ft 4 in = 36+4 = 40
4. 3 ft 8 in = 36+8 = 44
5. 4 ft 8 in= 48+8 = 56
6. 5 ft 8 in =60+8 = 68
7. 9 ft 4 in = 108+4 = 112

Now we have to divide 120 in those 7 parts (shown by color)
We've got 4 colors!
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Terry needs to purchase some pipe for a plumbing job that requires pip 01 Feb 2021, 13:22
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Why do we need to verify?

ScottTargetTestPrep
parkhydel
Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


PS80871.02
The total length of pipes Terry needs is:

(1 ft 4 in) + (2 ft 8 in) + (3 ft 4 in) + (3 ft 8 in) + (4 ft 8 in) + (5 ft 8 in) + (9 ft 4 in)

27 ft 44 in = 27 ft + 36 in + 8 in = 27 ft + 3 ft + 8 in = 30 ft 8 in

Therefore, he needs to buy at least four 10-ft long pipes (since three 10-ft long pipes are just short of the total length of pipes he needs).

Let’s verify that four 10-ft long pipes can indeed be cut into the required lengths.

1) The 9 ft 4 in pipe will be cut from one of the 10-ft pipes. The remaining 8 inches of pipes cannot be used and will be wasted.

2) The 5 ft 8 in pipe will be cut from another 10-ft pipe. The remaining 4 ft 4 in pipe can be used to cut the 3 ft 8 in pipe or any shorter pipe. If it is used for the 3 ft 8 in pipe, the remaining 8 inches of pipe will be wasted.

3) The 4 ft 8 in pipe will be cut from another 10-ft pipe. We see that we have 5 ft 4 in of pipe left over. We can use this pipe to form either a 3 ft 4 in pipe and a 1 ft 4 in pipe, or a 2 ft 8 in pipe and a 1 ft 4 in pipe.

4) The remaining pipe (either 3 ft 4 in or 2 ft 8 in) will be cut from the last 10-ft pipe.

We see that it is possible to cut the pipes of required lengths from four 10-ft pipes.

Answer: B
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Terry needs to purchase some pipe for a plumbing job that requires pip 03 Mar 2021, 11:47
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Why do we need to verify?

ScottTargetTestPrep
parkhydel
Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in, 2 ft 8 in, 3 ft 4 in, 3 ft 8 in, 4 ft 8 in, 5 ft 8 in, and 9 ft 4 in. The store from which Terry will purchase the pipe sells pipe only in 10-ft lengths. If each 10-ft length can be cut into shorter pieces, what is the minimum number of 10-ft pipe lengths that Terry needs to purchase for the plumbing job?

(Note: 1 ft = 12 in)

A. 3
B. 4
C. 5
D. 6
E. 7


PS80871.02
The total length of pipes Terry needs is:

(1 ft 4 in) + (2 ft 8 in) + (3 ft 4 in) + (3 ft 8 in) + (4 ft 8 in) + (5 ft 8 in) + (9 ft 4 in)

27 ft 44 in = 27 ft + 36 in + 8 in = 27 ft + 3 ft + 8 in = 30 ft 8 in

Therefore, he needs to buy at least four 10-ft long pipes (since three 10-ft long pipes are just short of the total length of pipes he needs).

Let’s verify that four 10-ft long pipes can indeed be cut into the required lengths.

1) The 9 ft 4 in pipe will be cut from one of the 10-ft pipes. The remaining 8 inches of pipes cannot be used and will be wasted.

2) The 5 ft 8 in pipe will be cut from another 10-ft pipe. The remaining 4 ft 4 in pipe can be used to cut the 3 ft 8 in pipe or any shorter pipe. If it is used for the 3 ft 8 in pipe, the remaining 8 inches of pipe will be wasted.

3) The 4 ft 8 in pipe will be cut from another 10-ft pipe. We see that we have 5 ft 4 in of pipe left over. We can use this pipe to form either a 3 ft 4 in pipe and a 1 ft 4 in pipe, or a 2 ft 8 in pipe and a 1 ft 4 in pipe.

4) The remaining pipe (either 3 ft 4 in or 2 ft 8 in) will be cut from the last 10-ft pipe.

We see that it is possible to cut the pipes of required lengths from four 10-ft pipes.

Answer: B
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Response: Why we need to verify

In general, it is useful to verify an answer when you have no time constraint; however, in this question, it’s actually necessary to make the verification.

Notice that prior to verification, the only thing we did was to add the lengths of required pipes and observe that the minimum possible number of 10-ft pipes is 4, which turned out to be the correct answer. Here’s a scenario where simple addition would not yield the correct answer:

Suppose you need three 5 ft 1 in pipes. If you add the lengths, you’ll obtain 5 ft 1 in + 5 ft 1 in + 5 ft 1 in = 15 ft 3 in. If we were to reason as above and mark the required number of 10-ft pipes as two (without verifying), we would choose the wrong answer. Notice that when you cut two 5 ft 1 in pipes from the two 10-ft pipes, you are left with two 4 ft 11 in pipes, and you can’t create a third 5 ft 1 in pipe from those remaining pipes. Thus, for this scenario, the correct answer is three pipes..

If the question were such that it was possible to glue two smaller pieces of pipes to create a larger pipe, then it would actually not be necessary to verify the answer.
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Terry needs to purchase some pipe for a plumbing job that requires pip 17 Jun 2025, 10:28
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