Solve the problem.
-Jimmy is a partner in an Internet-based coffee supplier. The company offers gourmet coffee beans for $14 per pound and regular coffee beans for $5 per pound. Jimmy is creating a medium-price product that will sell for $7 per pound. The first thing to go into the mixing bin was 10 pounds of the gourmet beans. How many pounds Of the less expensive regular beans should be added?
A)34 pounds
B)35 pounds
C)37 pounds
D)36 pounds

Question

Quizplus · Accepted Answer

To solve this, we use the concept of weighted averages. The goal is to find a mix that averages out to $7 per pound. Let $ x $ be the pounds of regular beans needed. The total cost of the gourmet beans is $ 10 \times 14 = 140 $ dollars. The cost of $ x $ pounds of regular beans is $ 5x $ dollars. The total weight of the mix is $ 10 + x $ pounds, and the total cost is $ 140 + 5x $ dollars. To find the mix that averages out to $7 per pound, we set up the equation:$$ \frac{140 + 5x}{10 + x} = 7 $$Solving for $ x $:$$ 140 + 5x = 7(10 + x) $$$$ 140 + 5x = 70 + 7x $$$$ 140 - 70 = 7x - 5x $$$$ 70 = 2x $$$$ x = 35 $$Therefore, Jimmy should add 35 pounds of the regular beans.

Solve the Problem. -Jimmy Is a Partner in an Internet-Based Coffee Supplier. the Coffee