Question

Owen is making lemonade from concentrate. The number of quarts of water he needs is

4
times the number of quarts of concentrate. How many quarts of water and how many quarts of concentrate does Owen need to make
100
quarts of lemonade

Answer 1

X=quarts of water

Y=quarts of concentrate

Y=20 quarts of concentrate, X=80 quarts of water

Explanation:

X=quarts of water

Y=quarts of concentrate

So X=4Y and water and concentrate make the lemonade so X+Y = quarts of lemonade

Then we have X=4Y and X+Y=100. Hence

X+Y=100 → 4Y+Y=100 → 5Y=100→ Y=20 quarts of concentrate → X=80 quarts of water