A total of s oranges are to be packaged in boxes that will hold r

Question

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

OG 2017 New Question

A)  s-nr

B)   s–\frac{n}{r}

C)  rs–n

D)  \frac{s}{n}–r

E)  \frac{s}{r}–n

OG 2017 New Question

Kurtosis · Accepted Answer

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

Answer: E

BrentGMATPrepNow · Answer

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

B)  12  –  2 / 3  =  11 1/3  We want 2. ELIMINATE

C) ( 3 )( 12 ) –  2  =  34  We want 2. ELIMINATE

D)  12 / 2  -  3  =  3  We want 2. ELIMINATE

E)  12 / 3  –  2  =  2  BINGO!

Answer:  E

Here's a video with some tips to consifer when using the INPUT-OUTPUT approach:
 https://www.youtube.com/watch?v=RWiY5Ks8vwk

Cheers,
Brent

Abhishek009 · Answer

No of boxes required =  \frac{s}{r}

n boxes have been filled , so no of boxes left is -

( \frac{s}{r} )–n
  
Thus answer will be (E)

Vinayak Shenoy · Answer

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

ScottTargetTestPrep · Answer

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

EMPOWERgmatRichC · Answer

Hi All,

This question can be solved by TESTing VALUES.

IF.... 
S = 6 
R = 2

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

Final Answer:  E

GMAT assassins aren't born, they're made, 
Rich

Devin97 · Answer

Total Oranges = S
Total Boxes Filled = n, No of oranges per box = r, so Total Oranges boxed = n*r
Thus, Oranges left = S-nr

Now, we need to find the number of boxes to pack these leftover oranges ( 1 Box = r oranges)
=> (S-nr)/r = (s/r)-n

Option E

Hoozan · Answer

Similar Questions: https://gmatclub.com/forum/each-retail- ... 46749.html https://gmatclub.com/forum/at-a-certain ... 46756.html

GMATinsight · Answer

Answer: Option E

Video solution by  GMATinsight

https://www.youtube.com/watch?v=YnriCT71gUY

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=OANcRso7N4w

khera · Answer

If 'S' oranges are packed 'R' oranges to a box with no 
oranges left over, then the number of boxes that 
will be filled is S/R.
 If 'N' of these boxes are already 
filled, then S/R -n boxes remain to be filled.

Dufa · Answer

Just to note that if you choose numbers that leave you with zero remainder, three of the answers choices will give you the correct answer

woohoo921 · Answer

To confirm Brent, when you were choosing the numbers, you had to be mindful of choosing n=2 right because it could not be greater than 4? So technically, you have to be strategic about your smart numbers in the case, correct? Many thanks

MBAHOUSE · Answer

Stop plug in numbers all the time. If you are trying 700 or more, the author will turn the hard arithmetic questions impossible to you apply this technique.
Use simple algebra concepts in your study.

AndrewN · Answer

A student of mine brought the above question to my attention. One approach I do not see outlined above, which can be useful on word problems that involve real-world measurements, is to   translate the algebraic expressions into language   to ensure that the answer you select will be sensible. Consider the first option, for example:

(A) s - nr

If we substitute the word or phrase for its algebraic stand-in, we get the following:

(oranges) -

Ask yourself what sort of unit that bracketed multiplication would produce. The boxes would cancel out and you would be left with oranges. It should be clear that we cannot answer a question that asks us to count boxes by subtracting oranges from oranges.  (A) cannot be the answer.  Now, consider the other options in a similar fashion:

(B) s - (n/r)

(oranges) -

Even without doing the math, it is obvious that we cannot subtract  anything  from oranges to get boxes, since the units would not match.  Get rid of (B).

(C) rs - n

- (boxes of oranges)

What sort of a unit is oranges squared? Again, it should be clear that you cannot derive boxes from this made-up unit.  Nix (C).

(D) (s/n) - r

- (oranges/box)

We cannot get boxes by subtracting a "rate" of oranges per box.  Get rid of (D).

(E) (s/r) - n

- (boxes of oranges)

What do you do when you divide by a fraction? You invert the divisor and multiply, of course, and here, we will finally derive a sensible unit that will help to answer the question:

- (boxes of oranges)

And it is perfectly reasonable to count boxes by subtracting a set of boxes from other boxes.   (E) must be the answer.   Nothing more than a basic understanding of units and mathematics is necessary, and the question can be answered quickly and confidently.

See if you can apply the same logic to other word problems that use measurements and list algebraic answers. You may surprise yourself how handy the process of elimination outlined above may prove.

Good luck with your studies.

- Andrew

pulkitt · Answer

Hey,
use simple numbers to assume values, assume s = 100, r = 10. Hence total number of boxes are 100/10 = 10 boxes. If n = 4 boxes are filled, then how many boxes are remaining 10 - 4 = 6 or s/r - n.
((:

A total of s oranges are to be packaged in boxes that will hold r

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A total of s oranges are to be packaged in boxes that will hold r

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