Acoffee mixture has beans that sell for $0.72 a pound and beans that sell for $0.52. if 110 pounds of beans create a mixture worth $0.74 a pound, how much of each bean is used? model the scenario then solve it. then, in two or more sentences explain whether your solution is or is not reasonable.

x: number of pounds of beans that sell for $0.72 used

y: number of pounds of beans that sell for $0.52 used

x + y = 110

x = 110 - y

0.72x + 0.52y = 81.4

0.72(110 - y) + 0.52y = 81.4

79.2 - 0.72y + 0.52y = 81.4

79.2 - 0.2y = 81.4

-79.2             -79.2

0.2y = 2.2

/0.2     /0.2

y = 11

x = 110 - y

x = 110 - 11

x = 99

This solution is reasonable because if you combine 99 pounds of beans that sell for $0.72 with 11 pounds of beans that sell for $0.52, then it will equal 110 pounds. It will also be able to be sold at $0.74 a pound.

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