how many pounds of candy that sells for 077 per pound must b

how many pounds of candy that sells for $0.77 per pound must be mixed with candy that sells for $1.26 per pound to obtain 7 pounds of a mixture that should sell for $0.91 per pound?

Solution

Let candy that sells for $0.77 be x amount

Let candy that sells for $1.26 be y amount

Total 7 pounds mixture: x+y =7 ----(1)

0.77x +1.26y =0.91*7 ----(2)

0.77x +1.26y = 6.37 ----(2)

Solve equation 1 and 2 to get values of x and y:

we get x= 5 pounds of candy tha sells at $0.77

and y = 2 pounds of candy that sells at $1.26