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Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6

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Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6  [#permalink]

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New post 09 Aug 2019, 02:01
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A
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C
D
E

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  35% (medium)

Question Stats:

74% (02:05) correct 26% (02:41) wrong based on 39 sessions

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Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have? (1 yard = 3 feet and = 36 inches)

A. 7 yd. 1 ft. 8 in.
B. 8 yd. 4 ft. 4 in.
C. 8 yd. 11 in.
D. 9 yd. 7 in.
E. 10 yd.

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Re: Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6  [#permalink]

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New post 09 Aug 2019, 20:47
Quote:
Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have? (1 yard = 3 feet and = 36 inches)

A. 7 yd. 1 ft. 8 in.
B. 8 yd. 4 ft. 4 in.
C. 8 yd. 11 in.
D. 9 yd. 7 in.
E. 10 yd.


The right answer here is D. This is a very simple question, so instead of going over the basic math itself, let's look at how we can solve such questions faster instead. Since our task is simply to add the lengths up, lets try to get a ball-park estimate of the amount. We see 1 + 2 + 4 yds, so the figure is certainly over 7, and possibly more than 8 (since we haven't looked at feet and inches yet). We then see 2 + 1 + 2 ft, which is nearly 2 more yards. From this, we can ascertain that the total has to be in the very high 8s, or over 9. This leads us straight to option D.

The real challenge is that you might get an easy question like this early on, but still take time on it out of wanting to be very sure of the answer. What is essential is that you note the options available, and recognise that calculating an exact answer is not necessary so long as you can confirm that it must be a single option.

- Matoo
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Re: Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6  [#permalink]

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New post 11 Aug 2019, 00:58
Total is 7 yard, 5ft, 19in
19in =12in +7in = 1ft, 7in

So total is 7 yard, 6ft, 7in
=9 yard, 7in

D is correct

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Re: Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6  [#permalink]

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New post 12 Aug 2019, 19:27
Bunuel wrote:
Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have? (1 yard = 3 feet and = 36 inches)

A. 7 yd. 1 ft. 8 in.
B. 8 yd. 4 ft. 4 in.
C. 8 yd. 11 in.
D. 9 yd. 7 in.
E. 10 yd.


The first piece is 3 feet + 2 feet + 6 inches = 5 feet 6 inches

The second piece is 6 feet + 1 foot + 5 inches = 7 feet 5 inches

The third piece is 12 feet + 2 feet + 8 inches = 14 feet 8 inches

The total is 26 feet and 19 inches = 27 feet and 7 inches

Since 27 feet is 27/3 = 9 yards, she has 9 yards and 7 inches of material.

Alternative solution:

Adding the lengths of the three pieces of material, we have:

1 yd. 2 ft. 6 in. + 2 yd. 1 ft. 5 in + 4 yd. 2ft. 8in = 7 yd. 5 ft. 19 in.

Since 19 in. = 1 ft. 7 in., so 7 yd. 5 ft. 19 in. = 7 yd. 6 ft. 7 in.

Since 6 ft. = 2 yd., so 7 yd. 6 ft. 7 in. = 9 yd. 7 in.

Answer: D
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Re: Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6   [#permalink] 12 Aug 2019, 19:27
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