Answered

Eric's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Eric $5.95 per pound, and type B coffee costs $4.05 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $398.20. How many pounds of type A coffee were used?

Answer :

Answer:

22 pounds of coffee of type A were used.

Step-by-step explanation:

Given:

Cost of type A coffee is $5.95 per pound, and cost of type B coffee is $4.05 per pound.

A total cost of $398.20 of type A coffee and type B coffee is used in this month.

Now, to find the quantity in pounds of type A coffee were used.

Let the pounds of type A coffee be [tex]x.[/tex]

According to question, type B coffee used is three times as type A.

So, the pounds of type B coffee used is [tex]3x.[/tex]

Now, to get the pounds of type A coffee were used we put an equation:

[tex]5.95(x)+4.05(3x)=398.20[/tex]

[tex]5.95x+12.15x=398.20[/tex]

[tex]18.10x=398.20[/tex]

Dividing both sides by 18.10 we get:

[tex]x=22.[/tex]

Therefore, 22 pounds of coffee of type A were used.

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