Question

aDante's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Dante $4.30 per pound, and type B coffee costs $5.50 perpound. This month, Dante made 156 pounds of the blend, for a total cost of $748.80. How many pounds of type A coffee did he use?

Answer 1

Answer: He used 91 pounds of type A coffee

Step-by-step explanation:

Let x represent the number of pounds of type A coffee used

Let y represent the number of pounds of type B coffee used

This month, Dante made 156 pounds of the blend. This means that

x + y = 156

y = 56 - x

Type A coffee costs Dante $4.30 per pound, and type B coffee costs $5.50 per

pound. This month, the total cost the blend was $748.80. This means that

4.3x + 5.5y = 748.8

We would substitute y = 56 - x into 4.3x + 5.5y = 748.8. We have

4.3x + 5.5(156 - x) = 748.8

4.3x + 858 - 5.5x = 748.8

4.3x - 5.5x = 748.8 - 858

- 1.2x = - 109.2

x = - 109.2/- 1.2

x = 91

He used 91 pounds of type A coffee