Question

Paige and Brooke make ice tea. Paige makes 18 ounces of iced tea that is 7% sugar. Brooke makes 10 ounce of iced tea that is 1% of sugar. They want to combine their tea to have 12 ounces of iced tea that is 3% sugar. How many ounces will Brooke have to contribute?

Answer 1

amount of Brooke's juice --- x ounces
amount of Paige's juice ---- 12-x ounces

.01x + .07(12-x) = .03(12)
times 100
x + 7(12-x) = 3(12)
x + 84 - 7x = 36
-6x = -48
x = 8

state your conclusion

Answer 2

p + b = 12 ... p = 12 - b

(p * .07) + (b * .01) = 12 * .03

substituting ... [(12 - b) * .07] + (b * .01) = 12 * .03

solve for b