Aldo's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $5.85 per pound, and type B coffee costs $4.15 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $449.00 How many pounds of type A coffee were used?

Question

Aldo's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $5.85 per pound, and type B coffee costs $4.15 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of  $449.00 How many pounds of type A coffee were used?

GPT 3.5 · Answer

Let x be the number of pounds of type A coffee used.
The number of pounds of type B coffee used is 4 * x.
The total cost of the blend is 5.85 * x + 4.15 * 4 * x = 449.
Combining like terms, we get 5.85x + 16.6x = 449
Combining like terms, we get 22.45x = 449
Dividing both sides by 22.45, we get x = 20.
Twenty pounds of type A coffee were used. Answer: \boxed{20}.