Question

Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containg 55% spinach. The resulting salad contains 50% spinach. How many cups of salad are in the resulting mixture?

Answer 1

Answer: 12 cups of salad blend are in the resulting mixture

Explanation:

Since we have given that

4 cups of a salad blend contains 40% spinach

Using mixture allegation method, we get that

8 cups of a salad blend contains 55% spinach as shown in the figure below.

Now, we need to find the number of cups of salad in the resulting mixture,

$0.4\times 4+0.55\times 8=0.5\times x\\\\1.6+4.4=0.5x\\\\6=0.5x\\\\\frac{6}{0.5}=x\\\\12=x$

Hence, 12 cups of salad blend are in the resulting mixture .