Question

Panchito discovered the Summer's most refreshing beverage by mixing a 70% cranberry juice with a 5% orange juice. How much of each should he mix together to make 150 ml of a 44% cranberry-orange juice blend?

a. 100 ml of cranberry juice and 50 ml of orange juice
b. 60 ml of cranberry juice and 90 ml of orange juice
c. 70 ml of cranberry juice and 80 ml of orange juice
d. 75 ml of cranberry juice and 75 ml of orange juice

Answer 1

Panchito should mix 100 ml of cranberry juice and 50 ml of orange juice to make 150 ml of a 44% cranberry-orange juice blend.

Step-by-step explanation:

To solve this problem, let's set up a system of equations. Let x represent the amount of cranberry juice and y represent the amount of orange juice. We can set up two equations:

x + y = 150 (since the total volume of the blend is 150 ml)

0.7x + 0.05y = 0.44 * 150 (since we want the cranberry-orange juice blend to be 44% cranberry-orange juice)

Solving these equations, we find that x = 100 ml and y = 50 ml. Therefore, Panchito should mix 100 ml of cranberry juice and 50 ml of orange juice.