Question

Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containing 55% spinach. The resulting salad contains 50% spinach.

How many cups of salad are in the resulting mixture?

8
9
12
13

Answer 1

Let x be cups of the 55% blend. Spinach amount: 4(0.40) + x(0.55) = (4+x)(0.50).

Compute: 1.6 + 0.55x = 2 + 0.5x → 0.05x = 0.4 → x = 8.

Total cups = 4 + 8 = 12.