math equation and reasoning

Question

Josh's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Josh
$4.30
per pound, and type B coffee costs
$5.45
per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of
$965.70
. How many pounds of type A coffee were used?

Answer 1

Your answer will be some multiple of 1 lb of A and 4 lb of B, which is 

1x4.30 + 4x5.45 = 4.30 + 21.80 = 26.10

 

Set up this proportion

 

a+4b         26.10

------   =   -------               

total          965.70

 

 

When you divide you get 37. There were 37 pounds of coffee A and 148 pounds of coffee B.

 

Check:

37x4.30 + 148x5.45

159.10  +  806.60 = 965.70