David's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs David $4.10 per pound, and type B coffee costs $5.25 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $423.40. How many pounds of type A coffee were used?

29 pounds of type A coffee was used

Step-by-step explanation:

David's shop makes a blend that is a mixture of 2 coffee

Type A costs $4.10

Type B costs $5.25

Let a represent the number of pounds of type A coffee used

Since this month's blend used twice as many pound of type B coffee as type A

a + 2a

The total cost is $423.40

Therefore the amount of pounds of type A coffee used can be calculated as follows

4.10a + 5.25(2a)= 423.40

4.10a + 10.5a= 423.40

14.6a= 423.40

a= 423.40/14.6

a= 29

Hence 29 pounds of type A coffee was used

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898.1666667

step-by-step explanation:

5389/6 = 898.1666667