Question

A drink is made by mixing pineapple juice , orange juice and line juice in the ratio 2:7:3 Sally makes 600ml of the drink

Karen has 600ml of lime juice and unlimited supply of pineapple and orange juice.


A= what is the maximum amount of the drink can she make?

B=how much pineapple juice would she use ?

C= how much orange juice would she use ?

Answer 1

Sally has 600 ml of drink
Karen has 600 ml of lime juice

When it is mixed at a ratio of 2:7:3 . . .pineapple:orange:lime (respectively) . . this means . . . there are a total of 2 + 7 + 3 parts = 12 parts . . and each part individually is as follows:

pineapple = 2/12
orange = 7/12
lime = 3/12

Sally has 12 parts = 600 ml of drink
. . pineapple = 2/12*600ml = 100 ml pineapple
. . orange = 7/12*600ml = 350 ml orange
. . lime = 3/12*600ml = 150 ml lime

We know Karen has 600 ml of lime juice and if that is 3/12 of the total, then 600*12/3 = the total drink = 2400 ml of drink

Karen has 12 parts = 2400 ml of drink
. . pineapple = 2/12*2400ml = 400 ml pineapple
. . orange = 7/12*2400ml = 1400 ml orange
. . lime = 3/12*2400ml = 150 ml lime


Thus . . . (for Karen) . . .
A = 2400 ml of drink
B = 400 ml of orange juice
C = 1400 ml of pineapple juice