Question

Which equation models the following word problem?Coffee Express wants to sell a coffee blend for $8.60 per pound. Theywant 7.5 pounds of the mix. They are going to include Havertine coffeethat costs $9.50 per pound and Jacobian coffee that costs $8 per pound.How much of each of the coffees should they mix to get the desired-blend?

Answer 1

Let

x ----> pounds of Havertine coffee

y ---> pounds of Jacobian coffee

we have that

x+y=7.5 -----> y=7.5-x -----> equation 1

9.50x+8y=8.60(7.5) -----> equation 2

Solve the system of equations

substitute equation 1 in equation 2

9.50x+8(7.5-x)=8.60(7.5)

therefore

The answer is the second option