Question

Martina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Martina $5.75 per pound, and type B coffee costs $4.10 per
pound. This month, Martina made 140 pounds of the blend, for a total cost of $677.95. How many pounds of type B coffee did she use?
Tumber of pounds of type B coffee:
X
5
?

Answer 1

Answer:

677.95

Step-by-step explanation:

bloooooooooooop

Answer 2

Answer:

Step-by-step explanation:

a + b = 140.......a = 140 - b

5.75a + 4.10b = 677.95

sub in 140 - b in for a in the other equation....and solve for b, the number of lbs of type B coffee

5.75(140 - b) + 4.10b = 677.95

805 - 5.75b + 4.10b = 677.95

-5.75b + 4.10b = 677.95 - 805

- 1.65b = - 127.05

b = -127.05 / -1.65

b = 77 <======= lbs of type B coffee used

a + b = 140

a + 77 = 140

a = 140 - 77

a = 63.........lbs of type A coffee used

check..

5.75a + 4.10b = 677.95

5.75(63) + 4.10(77) = 677.95

362.25 + 315.70 = 677.95

677.95 = 677.95 (correct)

I found both just so I could check my answer....and it checked out....