Question

lena's coffee shop makes a blend that us a mixture of two types of coffee. Type A coffee costs Lena $5.70 per pound, and type B coffee costs $4.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $885.30. how many pounds of type A coffee were used?​

Answer 1

Answer: 39 pounds of type A coffee were used.

Step-by-step explanation:

Let x represent the number of pounds of type A coffee that were used in the blend.

Let y represent the number of pounds of type B coffee that were used in the blend.

Type A coffee costs Lena $5.70 per pound, and type B coffee costs $4.25 per pound. The total cost of the mixture is $885.30. It means that

5.7x + 4.25y = 885.3- - - - - - - - - -1

This month's blend used four times as many pounds of type B coffee as type A. It means that

y = 4x

Substituting y = 4x into equation 1, it becomes

5.7x + 4.25 × 4x = 885.3

5.7x + 17x = 885.3

22.7x = 885.3

x = 885.3/22.7

x = 39

y = 4x = 4 × 39

y = 156