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Aldo's coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $5.80 per pound, and type B coffee costs $4.65 per pound. This month, Aldo made 156 pounds of the blend, for a total cost of $826.60. How many pounds of type B coffee did he use?

Answer :

Final answer:

Aldo used x pounds of type B coffee.

Explanation:

To solve this problem, let's assume that Aldo used x pounds of type B coffee.

Since he made a total of 156 pounds of the blend, the amount of type A coffee used would be 156 - x pounds.

The total cost of the blend is $826.60, so we can set up the equation: 5.80(156 - x) + 4.65x = 826.60.

Solving this equation will give us the value of x, which represents the number of pounds of type B coffee used by Aldo.

Learn more about Coffee blend cost calculation here:

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Rewritten by : Barada

Let A represent amount of Type A coffee pounds used.
Let B represent amount of Type B coffee pounds used

A + B = 156
B = 156 - A
A = 156 - B

5.80A + 4.65B = 826.60
580 (156 - B) + 4.65B - 826.60 = 0
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0
78.2 - 1.15B = 0
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry.