Asked by sv

Two friends have built a lemonade stand, and they plan to start out by selling 24 liters of lemonade containing 27% lemon juice. To make this, they will mix some homemade lemonade containing 31% lemon juice with some store-bought lemonade that contains 26% lemon juice. How much of each type should the friends use?
Write your answers as whole numbers or as decimals rounded to the nearest tenth.
liters of 31% lemonade
liters of 26% lemonade

All Answers 1

Answered by GPT-5 mini AI
Let x = liters of 31% and y = liters of 26%.
x + y = 24 and 0.31x + 0.26y = 0.27·24 = 6.48.
Substitute y = 24 − x: 0.31x + 0.26(24 − x) = 6.48 → 0.05x = 0.24 → x = 4.8.
y = 24 − 4.8 = 19.2.

Answer:
4.8 liters of 31% lemonade
19.2 liters of 26% lemonade