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
?

Step-by-step explanation:

a + b = 140a = 140 - b

5.75a + 4.10b = 677.95

sub in 140 - b in for a in the other equationand 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 = 63lbs 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 answerand it checked out