Problema Solution

Mai's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Mai $5.20 per pound, and type B coffee costs $4.05 per pound. This month, Mai made 131 pounds of the blend, for a total cost of $622.55 . How many pounds of type A coffee did she use?

Answer provided by our tutors

let


a = lbs of the type A coffee

b = lbs of the type B coffee


this month, Mai made 131 pounds of the blend


a + b = 131


for a total cost of $622.55


5.20a + 4.05b = 622.55


by solving the system of equations


a + b = 131

5.20a + 4.05b = 622.55


we find


a = 80 lbs


b = 51 lbs


click here to see the step by step solution of the system of equations


Click to see all the steps



She used 80 pounds of type A coffee.