Omar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $4.10 Omar per pound, and type B coffee costs $5.30 per pound. This month, Omar made 141 pounds of the blend, for a total cost of $640.50. How many pounds of type A coffee did he use?

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ChopinTheChicken ChopinTheChicken · Answer 1 · 2020-09-07T21:46:29+02:00

Hey there! I'm happy to help!

Let's use the variables A and B to represent the number of pounds used of types A and B.

4.10A+5.30B=640.50

A+B=141

Let's rearrange the bottom equation to solve for B.

A+B=141

Subtract A from both sides.

B=141-A

We can put this value of B into the first equation to solve for the number of pounds of type A Omar used.

4.10A+5.30(141-A)=640.5

We use distributive property to undo parentheses.

4.10A+747.3-5.3A=640.5

We combine like terms.

-1.2A+747.3=640.5

Subtract 747.3 from both sides.

-1.2A=-106.8

Divide both sides by -1.2

A=89

Omar used 89 pounds of type A coffee in this month's blend.

Have a wonderful day! :D