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Pam and Stanley packed several boxes with reams of paper.

Expert replies
by BTGModeratorVI » Tue Jul 07, 2020 6:23 am

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Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 60% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?

A. 1 to 4
B. 1 to 3
C. 3 to 5
D. 3 to 4
E. 3 to 2

Answer: D
Source: Veritas Prep
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Source: — Problem Solving |

BTGModeratorVI wrote:
Tue Jul 07, 2020 6:23 am
Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 60% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?

A. 1 to 4
B. 1 to 3
C. 3 to 5
D. 3 to 4
E. 3 to 2

Answer: D
Source: Veritas Prep
We know that while working together Pam packed 60% boxes; thus, Stanley packed 40% boxes. Given that after Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam, Stanley must have packed another 40% boxes.

So, Pam packed 60 boxes (Assumed); and Stanley packed 40 + 40 = 80 boxes.

The required ratio = 60 : 80 :: 3 : 4

Correct answer: D

Hope this helps!

-Jay
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BTGModeratorVI wrote:
Tue Jul 07, 2020 6:23 am
Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 60% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?

A. 1 to 4
B. 1 to 3
C. 3 to 5
D. 3 to 4
E. 3 to 2

Answer: D
Source: Veritas Prep
We can solve this question by finding values that satisfy the given conditions.

Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 60% of the boxes.
Let's say that, during this time, Pam and Stanley packed a TOTAL of 10 boxes.
Since Pam packed 60% of the boxes, we can conclude that Pam packed 6 boxes and Stanley packed the remaining 4 boxes

After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam.
This means that Stanley packed another 4 boxes after Pam stopped.
So the total number of boxes that Stanley packed = 4 + 4 = 8

What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?
Pam packed 6 boxes
Stanley packed 8 boxes

The ratio is 6 to 8
Simplify to get: 3 to 4

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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BTGModeratorVI wrote:
Tue Jul 07, 2020 6:23 am
Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 60% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?

A. 1 to 4
B. 1 to 3
C. 3 to 5
D. 3 to 4
E. 3 to 2

Answer: D
Solution:

We can assume that when they worked together, they packed a total of 100 boxes. Therefore, Pam packed 60 boxes, and Stanley packed 40 boxes when they worked together. After that, Stanley worked alone, and he packed another 40 boxes. Therefore, Stanley packed a total of 80 boxes, so the ratio of boxes packed by Pam to those packed by Stanley is 60 to 80, or 3 to 4.

Answer: D

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