Problema Solution

Trey's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Trey $5.50

per pound, and type B coffee costs $4.25per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $456.25. How many pounds of type A coffee were used?

Answer provided by our tutors

Let

a = pound of type A

b = pounds of type B

b = 3a

5.50a + 4.25b = 456.25

........

click here to see the system of equations solved for a and b

........

a = 25 lb

b = 75 lb

25 pounds of coffee type A was used.