Question

Chris is mixing 2 different types of fruit juice together for a summer drink. The two types of juices he is using is one that is 30% strawberry concentrate and the other is 55% lemon concentrate. If he wants 2 L that is 40% concentrate of the fruit juices, how much of each should be used to create the drink?

Answer 1

The total amount of the drink is 2L. Strawberry concentrate will be X amount, and lemon concentrate will be the other part which is 2 - X.

---Note that we can only use one variable because there is only one equation to be set up here. That's why "the other part" is simply the total amount minus the strawberry amount.

0.4(2) = 0.3(x) + 0.55(2 - x)

---0.4, 0.3 and 0.55 are the decimal equivalents of 40%, 30% and 55%

0.8 = 0.3x + 1.1 - 0.55x

0.8 = -0.25x + 1.1

-0.3 = -0.25x

x = 1.2

Therefore, Chris should use 1.2L of strawberry concentrate and 0.8L of lemon concentrate to get 2L of a 40% concentrate mixture.

Hope this helps!