How many pounds of candy that sells for $3.25 per lb must be mixed with candy that sells for $2.75perlb to obtain 10lb of a mixture that should sell for $2.90 per lb ?□ Ib of $3.25-per-lb candy must be mixed with □ Ib of $2.75-per-lb candy.(Type integers or decimals.)
Q. How many pounds of candy that sells for $3.25 per lb must be mixed with candy that sells for $2.75perlb to obtain 10lb of a mixture that should sell for $2.90 per lb ?□ Ib of $3.25-per-lb candy must be mixed with □ Ib of $2.75-per-lb candy.(Type integers or decimals.)
Define Variables: Let x be the amount of $3.25-per-lb candy, and (10−x) be the amount of $2.75-per-lb candy.
Set Up Equation: Set up the equation based on the total cost of the mixture: 3.25x+2.75(10−x)=2.90×10.
Combine Terms: Distribute and combine like terms: 3.25x+27.5−2.75x=29.
Combine x Terms: Combine the x terms: 0.5x+27.5=29.
Subtract Constants: Subtract 27.5 from both sides: 0.5x=1.5.
Solve for x: Divide both sides by 0.5 to solve for x: x=3.