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,
[tex]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[/tex]
Hence, 12 cups of salad blend are in the resulting mixture .
Answer:
Option C: 12 cups of salad
Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)
Thus, we have the following expression that shows the number of salad in the resulting mixture;
4(40%) + x(55%) = (4+x)(50%)
= 0.4(4) + x(0.55) = 0.5(4 + x)
= 1.6 + 0.55x = 0.2 + 0.5x
0.2 -1.6 = 0.55x-0.5x
0.4 = 0.05x
x = 0.4/0.05
x = 8 cups of salad
So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad
