How many pounds of candy that sells for $1.25 per lb must be mixed with candy that sells for $0.75 per lb to obtain 20lb of a mixture that should sell for $1.00 per lb ?□ Ib of $1.25-per-lb candy must be mixed with □ lb of $0.75-per-lb candy.(Type integers or decimals.)
Q. How many pounds of candy that sells for $1.25 per lb must be mixed with candy that sells for $0.75 per lb to obtain 20lb of a mixture that should sell for $1.00 per lb ?□ Ib of $1.25-per-lb candy must be mixed with □ lb of $0.75-per-lb candy.(Type integers or decimals.)
Define candy amounts: Let x be the amount of $1.25-per-lb candy, and (20−x) be the amount of $0.75-per-lb candy.
Set up equation: Set up the equation based on the price per pound of the mixture: 1.25x+0.75(20−x)=20×1.00.
Simplify equation: Simplify the equation: 1.25x+15−0.75x=20.
Combine like terms: Combine like terms: 0.50x+15=20.
Subtract 15: Subtract 15 from both sides: 0.50x=5.
Divide by 0.50: Divide both sides by 0.50 to find x: x=0.505.