Problema Solution
chang's coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Chang $4.10 per pound, and type B coffee cost $5.90 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $461.10. How many pounds of type A coffee were used?
Answer provided by our tutors
let
x = pounds of type A coffee with cost $4.10 per pound
y = pounds of type B coffee with cost $5.90 per pound
this month's blend used twice as many pounds of type B coffee as type A
y = 2x
total cost of $461.10
4.10x + 5.90y = 461.10
by solving the system of equations
y = 2x
4.10x + 5.90y = 461.10
we find
x = 29 pounds
y = 58 pounds
the mixture is made of 29 pounds type A coffee and 58 pounds of type B coffee.