How many pounds of candy that sells for $1.75 per lb must be mixed with candy that sells for $1.25 per lb to obtain 20lb of a mixture that should sell for $1.50 per lb ?□ lb of $1.75-per-lb candy must be mixed with □ lb of $1.25-per-lb candy.(Type integers or decimals.)
Q. How many pounds of candy that sells for $1.75 per lb must be mixed with candy that sells for $1.25 per lb to obtain 20lb of a mixture that should sell for $1.50 per lb ?□ lb of $1.75-per-lb candy must be mixed with □ lb of $1.25-per-lb candy.(Type integers or decimals.)
Define variables: Let x be the pounds of $1.75 candy, and (20−x) be the pounds of $1.25 candy.
Set up equation: Set up the equation: 1.75x+1.25(20−x)=1.50×20.
Simplify equation: Simplify the equation: 1.75x+25−1.25x=30.
Combine like terms: Combine like terms: 0.5x+25=30.
Subtract and solve: Subtract 25 from both sides: 0.5x=5.
Calculate $1.25 candy: Divide both sides by 0.5 to find x: x=10.
Calculate $1.25 candy: Divide both sides by 0.5 to find x: x=10.Calculate the pounds of $1.25 candy: 20−x=20−10=10.
More problems from Add, subtract, multiply, or divide two fractions: word problems