Respuesta :

Erica used 50 pounds of type B coffee

Let the number of pounds of type A coffee be A

Let the number of pounds of type B coffee be B

Total number of pounds = 123

A   +  B   =   123.........................................(1)

Cost of 1 pound of type A coffee = $5.95

Cost of 1 pound of type B coffee = $4.40

Total cost = $654.35

5.95A  +  4.40B = 654.35..........................(2)

Make A the subject of the formula in equation (1)

A  =  123  -   B........................(3)

Substitute equation (3) into equation (2)

5.95(123 - B)  +  4.40B  =  654.35

731.85  -  5.95B  +  4.40B  =  654.35

5.95B  -  4.40B  =  731.85 - 654.35

1.55B   =   77.5

B   =  77.5/1.55

B   =   50

Erica used 50 pounds of type B coffee

Learn more on system of equations here here: https://brainly.com/question/13729904