Question

Jermaine prepares a mixture of apple, carrots , strawberry juice. Of the total amoubt 1/3 of the mixture is apple juice. 2/5 of the remainder is strawberry juice. Jermaine uses 315 millimeters of strawberry juice in the mixture What amount of the mixture is carrot juice?

Answer 1

To find the amount of carrot juice in the mixture, you can solve an equation based on the given information. The total amount of the mixture is 900 millimeters, with 300 millimeters of apple juice and 240 millimeters of strawberry juice. Therefore, the amount of carrot juice is 360 millimeters.

Step-by-step explanation:

To find the amount of carrot juice in the mixture, we first need to determine the total amount of the mixture. We know that 1/3 of the mixture is apple juice, and 2/5 of the remainder is strawberry juice. So, if we let x represent the total amount of the mixture, then 1/3x represents the amount of apple juice and 2/5(2/3x) represents the amount of strawberry juice. We can set up an equation to solve for x:

1/3x + 2/5(2/3x) + 315 = x

Simplifying the equation, we get:

15x + 20(2x) + 315(15) = 45x

Solving for x, we find that x = 900.

So, the total amount of the mixture is 900 millimeters. Since 1/3 of the mixture is apple juice, that means the amount of apple juice is 1/3(900) = 300 millimeters. And since 2/5 of the remainder is strawberry juice, that means the amount of strawberry juice is 2/5(2/3(900)) = 240 millimeters. Therefore, the amount of carrot juice in the mixture is 900 - 300 - 240 = 360 millimeters.