Solve the problem.
-Ellen wishes to mix candy worth $\$ 1.69$ per pound with candy worth $\$ 3.50$ per pound to form 28 pounds of a mixture worth $\$ 2.21$ per pound. How many pounds of the more expensive candy should she use?
A) 20 pounds
B) 13 pounds
C) 8 pounds
D) 22 pounds

Question

Quizplus · Accepted Answer

Ellen wants to create a mixture that is worth $2.21 per pound from 28 pounds of candy. Using the equation for the total cost of the mixture, $1.69x + 3.50(28-x) = 2.21(28)$, where $x$ is the amount of the cheaper candy, we can solve for $x$ and then find the amount of the more expensive candy by subtracting $x$ from 28. Solving the equation gives us $x = 20$ pounds for the cheaper candy, meaning $28 - 20 = 8$ pounds of the more expensive candy is needed.

Solve the Problem $1.69\$ 1.69$1.69 Per Pound with Candy Worth $3.50\$ 3.50$3.50

Solve the Problem $\$ 1.69$ Per Pound with Candy Worth $\$ 3.50$