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.

The correct answer is C.