Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-The manager of a coffee shop has one type of coffee that sells for $5 per pound and another type that sells for $14 per pound. The manager wishes to mix 80 pounds of the $14 coffee to get a mixture that will sell for $8 per
Pound. How many pounds of the $5 coffee should be used?
A) 80 pounds
B) 120 pounds
C) 160 pounds
D) 240 pounds

Question

Quizplus · Accepted Answer

Let x be the number of pounds of $5 coffee that should be used. 
The total weight of the coffee mixture is 80 + x pounds. 
We can set up the equation: 
(80 pounds * $14/pound) + (x pounds * $5/pound) = (80 + x pounds) * $8/pound 
Simplifying this equation, we get: 
1120 + 5x = 640 + 8x 
Solving for x, we get: 
3x = 480 
x = 160 
Therefore, the manager should use 160 pounds of the $5 coffee.

Set Up an Equation That Can Be Used to Solve