Answer:
30 lb of $1.80 candy
60 lb of $1.20 candy
Step-by-step explanation:
It generally works well to let a variable represent the quantity of the most-expensive contributor. Here, we can let x represent pounds of $1.80 candy.
Then 90-x will be pounds of $1.20 candy, and the total cost of the mix will be ...
1.80x + 1.20(90-x)
We want that to be the same value as 90 pounds of $1.40 per pound mix, so the equation is ...
1.80x + 1.20(90 -x) = 1.40(90)
This can be simplified and solved like any two-step linear equation.
0.60x + 108 = 126 . . . . . simplify
0.60x = 18 . . . . . . . . . . . .subtract 108
x = 30 . . . . . . . . . . . . . . . divide by 0.60. This is pounds of $1.80 candy
90-x = 60 . . . . . pounds of $1.20 candy
30 pounds of candy priced at $1.80 per pound, and 60 pounds of candy priced at $1.20 per pound should be used to make a mix that costs $1.40 per pound.
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