Problema Solution
Keisha's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Keisha $4.80 per pound, and type B coffee costs $5.85 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $902.40 . How many pounds of type A coffee were used?
Answer provided by our tutors
set up 2 equations with A being the number of pounds of type A and B being the number of pounds of type B:
4.80A + 5.85B = 902.40
B = 4A
4.80A + 5.85(4A) = 902.40
4.80A + 23.4A = 902.40
28.20A = 902.40
A = 32
B = 4A = 4(32) = 128
therefore, 32 pounds of type A coffee were used and 128 pounds of type B coffee were used