Aldos 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 of 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?

Question

Mathematics

Conner Kennedy

14 June, 14:50

Aldos 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 of 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?

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Dharma · Answer 1

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.