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A total of s oranges are to be packaged in boxes that will hold r oran [#permalink]

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14 Jun 2016, 13:59

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A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number of boxes that remain to be filled?

A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number of boxes that remain to be filled?

One approach is to use the INPUT-OUTPUT approach. Choose some INPUT values of s, r and n and see what the answer is OUTPUT is. Then check the answer choices to see which one yields the matching OUTPUT.

So, let's say there are 12 oranges (s = 12) and each box holds 3 oranges (r = 3). Let's also say that we pack 2 of the boxes (n = 2)

Question: What is the number of boxes that remain to be filled? If each box holds 3 oranges, then we'll need a total of 4 boxes to hold all 12 oranges. So, if we pack 2 boxes, there will be 2 boxes remaining to be filled.

So, when we INPUT s = 12, r = 3 and n = 2 into the answer choices, the correct answer choice will be the one that yields an OUTPUT of 2

Now test the answer choices: A) 12 - (2)(3) = 6 We want 2. ELIMINATE

Re: A total of s oranges are to be packaged in boxes that will hold r oran [#permalink]

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19 Nov 2016, 03:52

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Total = ‘s’ oranges. Number of oranges in one box = ‘r’ Number of boxes = s/r Number of boxes filled = n Number of boxes that are yet to be filled = (s/r) – n

Re: A total of s oranges are to be packaged in boxes that will hold r oran [#permalink]

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19 Nov 2016, 05:02

if we take s=10, r=2 then 5 boxes will be filled. and if n=10 then 5 boxes will remain unfilled. so according to that (s-n/r) should be correct. so please correct if i am wrong.

Re: A total of s oranges are to be packaged in boxes that will hold r oran [#permalink]

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19 Nov 2016, 07:36

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AbdurRakib wrote:

A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number of boxes that remain to be filled?

Re: A total of s oranges are to be packaged in boxes that will hold r oran [#permalink]

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20 Nov 2016, 01:02

AbdurRakib wrote:

A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number of boxes that remain to be filled?

well this can be solved by plugging in numbers. Let the total number of oranges= s= 100 Let the number of oranges per box= r= 10 let the number of boxes already filled= n=8 Now substitute these values and find out which of the options give you the answer 2. (s/r)-n = (100/10)-8= 2 E

A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number of boxes that remain to be filled?

A) s-nr

B) s–(\(\frac{n}{r}\))

C) rs–n

D) (\(\frac{s}{n}\))–r

E) (\(\frac{s}{r}\))–n

Since s oranges are to be packaged in boxes that will hold r oranges each, the total number of boxes to be packed is s/r. Thus, after n boxes have been filled, the number of boxes left to be filled is (s/r) - n.

Answer: E
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Re: A total of s oranges are to be packaged in boxes that will hold r oran [#permalink]

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01 May 2017, 05:56

Let there be ‘s’ oranges and ‘r’ oranges per box. Total no. of boxes required will be (s/r) and “n” of them are currently filled So, no. of boxes yet to be filled will be (s/r)-n. OA: Option (E)

Then we're packing 6 oranges into boxes that will hold 2 oranges each... which means that there will be 3 boxes.

N = 1

So after 1 (of the 3) boxes is filled, there will be 2 boxes left. Thus, we're looking for an answer that equals 2 when we test the above three values.

Answer A: 6 - 2 = 4 NOT a match Answer B: 6 - 1/2 = 5.5 NOT a match Answer C: 12 - 1 = 11 NOT a match Answer D: 6 - 2 = 4 NOT a match Answer E: 3 - 1 = 2 This IS a match