Acoffee mixture has beans that sell for 0.20 a pound and beans that sell for 0.68. if 120 pounds of beans create a mixture worth 0.54 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 isn't reasonable.

The coffee mixture has 35 pounds of coffee beans sold at $0.20 a pound and 85 pounds of coffee beans sold at $0.68 a pound. This is reasonable because if you add 35 and 85 it will give you 120 pounds.

Step-by-step explanation:

0.2x + 0.68(120 - x) = 0.54[x + (120 - x)]

 0.2x + 81.6 - 0.68x = 0.54(120)

          -0.48x + 81.6 = 64.8

                     -0.48x = 64.8 - 81.6

                      -0.48x = -16.8

                      /-0.48       /-0.48

                               x = 35

y = 120 - x

y = 120 - 35

y = 85  

answer: x

step-by-step explanation:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2