A food scientist is preparing a mixed fruit beverage containing only

Question

A food scientist is preparing a mixed fruit beverage containing only two fruit juices — orange and pineapple. Orange juice has a sugar content of 7 grams per 100 milliliters, while pineapple juice has a sugar content of 16 grams per 100 milliliters. In the final mixture of 500 milliliters, the sugar content is 57.5 grams.

Select for  Orange Juice  the volume, in milliliters, of orange juice in the mixture and select for  Pineapple Juice  the volume, in milliliters, of pineapple juice in the mixture. Make only two selections, one in each column.

ravi1522 · Answer

Hello,
It can be solve by alligation

7 16
 
 11.5

4.5 4.5

so ratio will be 1:1

so answer will be 250ml each

Thanks

Bunuel · Answer

Official Solution:

57.5 grams of sugar per 500 milliliters means 57.5/5 = 11.5 grams per 100 milliliters.
 
Since 11.5 is exactly halfway between 7 and 16, the juices must be mixed in equal amounts.
 
Thus, the correct pair is: 250 milliliters of orange juice and 250 milliliters of pineapple juice.

Correct answer:

Orange Juice  "250"

Pineapple Juice  "250"

gabgol1998 · Answer

Test the answers (Work Backwards)

100 ml - 7 g + 400 ml - 64g = 71 g (too large)

200 ml - 14 g + 300 ml - 48 g = 64 (still too large, but closer now)

250 ml - 17,5 g + 250 ml - 40 = 57,5 (Here the answer)

Or you just can test 250 ml for orange first because we need a decimal value and all other values yields an integers.

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