Toms coffee shop makes a blend that Is a mixture of two types of coffee. Type A coffe cost $5.80 per pound, and type B coffe costs $4.55 per pound. This months blend used three times as many pounds of type B coffee then type A, for a total cost of $602.95. How many pounds of type A coffee were used?

Let be the number of pounds of type A coffee used, and let be the number of pounds of type B coffee used. Since this months blend used three times as many pounds of type B coffee then type A coffee, then we have



And since the total cost of this month's blend is $602.95, and type A is $5.80 and type B is $4.55, then we have

.

Since , then we can substitute for and get

.

Now we solve for .







So 31 pounds of type A.