## word transl - qbank # 22 - lighter luggage

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sanjivsp
Course Students

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Joined: Sat Aug 22, 2009 1:49 pm

### word transl - qbank # 22 - lighter luggage

below is the problem and the answer explanation. my answer would have 12 pounds. ie there was 32 pounds of bks, 20 of clothing, 12 elec. he took out 4 lbs of clothing which doubled the ration of books/clothing (32:16) what did i do wrong?

The ratio by weight, measured in pounds, of books to clothes to electronics in Jorge's suitcase initially stands at 8 to 5 to 3. Jorge then removes 4 pounds of clothing from his suitcase, thereby doubling the ratio of books to clothes. Approximately how much do the electronics in the suitcase weigh, to the nearest pound?

3
4
5
6

Initially the ratio of B: C: E can be written as 8x: 5x: 3x. (Recall that ratios always employ a common multiplier to calculate the actual numbers.)

After removing 4 pounds of clothing, the ratio of books to clothes is doubled. To double a ratio, we double just the first number; in this case, doubling 8 to 5 yields a new ratio of 16 to 5. This can be expressed as follows:

books

clothing
=

8x

5x - 4
=

16

5

Cross multiply to solve for x:

40x = 80x - 64
40x = 64
x = 8/5

The question asks for the approximate weight of the electronics in the suitcase. Since there are 3x pounds of electronics there are 3 Ã— (8/5) = 24/5 or approximately 5 pounds of electronics in the suitcase.

tim
ManhattanGMAT Staff

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### Re: word transl - qbank # 22 - lighter luggage

Doubling the ratio of books to clothing does not mean that the new ratio is 2:1; it means the new ratio is twice what it once was. If the ratio started at 8:5, the new ratio is 16:5..
Tim Sanders
Manhattan GMAT Instructor

https://www.manhattanprep.com/gmat/forums/a-few-tips-t31405.html
EricaL474
Students

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Joined: Sat Oct 08, 2016 4:22 pm

### Re: word transl - qbank # 22 - lighter luggage

Hey Tim,

I approached the question a bit differently.

Initially, B:C:E = 8:5:3
After Jorge removed 4 pounds of clothing, the ratio of books to clothes doubled. Since the number of books remained the same, the weight should remain the same too.
The new ratio will be B:C:E = 8:4:3
As such, 1 unit = 4 pounds.
Weight of electronics = 3 units = 3x4 = 12 pounds.

May I know what is wrong with my method?

Thanks a lot!
RonPurewal
Students

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Joined: Tue Aug 14, 2007 8:23 am

### Re: word transl - qbank # 22 - lighter luggage

"doubling the ratio" does NOT mean "making the ratio 2:1".

it means changing the ratio into twice its original value.

the initial ratio of books to clothes is 8:5. if you double this ratio, it becomes 16:5 (not 2:1).
RonPurewal
Students

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Joined: Tue Aug 14, 2007 8:23 am

### Re: word transl - qbank # 22 - lighter luggage

by the way—this is the wrong folder for this question.
anything from our materials, besides CAT exams (which have their own folder), belongs in the "MPrep non-CAT math" folder.