Question

Salma's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Salma $5.15 per pound, and type B coffee costs $4.10 per pound. This month, Salma made 147 pounds of the blend, for a total cost of $659.40. How many pounds of type A coffee did she use?

Answer 1

.........................

Answer 2

Answer: 54 pounds

Step-by-step explanation:

1. Adressing the variables:

x=number of pounds of type A

y=number of pounds of type B

2. Equations:

x+y=147 pounds

5.15x+4.1y=659.40

3. Subsitution:

y=147-x =>5.15x+4.1(147-x)

4. Solve:

5.15x+602.7-4.1x=659.4

=> 1.05x=56.7 => x=54

5. Solution:

x=54; y=93