Question

7. Suppose you want to combine two types of fruit

drink to create 24 kilograms of a drink that will be
5% sugar by weight. Fruit drink A is 4% sugar by
weight, and fruit drink B is 8% sugar by weight.
Write and solve a system of equations to find out
how much of each fruit drink you need to use.

Answer 1

18 kilograms of drink A and 6 kilograms of drink B

Explanation:

Let x equal the amount of Drink A

.04x + .08(24-x) = .05(24) Multiply through by 100 to clear the decimal

4x + 8(24-x) = 5(24)

4x + 192 - 8x = 120 Combine like terms

-4x + 192 = 120 Subtract 192 from both sides

-4x = -72 Divide both sides by -4

x = 18 This is the number of kilograms for drink A.

24-18= 6. This is the amount for Drink B