Solve the problem using matrices.
-Ellen wishes to mix candy worth $\$ 4.63$ per pound with candy worth $\$ 8.15$ per pound to form 25 pounds of a mixture worth $\$ 7.45$ per pound. How many pounds of the more expensive candy should she use?
A) $5 \mathrm { lb }$
B) $25 \mathrm { lb }$
C) $20 \mathrm { lb }$
D) $7 \mathrm { lb }$

Question

Quizplus · Accepted Answer

To solve this, let $x$ be the pounds of the \$4.63 candy, and $y$ be the pounds of the \$8.15 candy. We have two equations: $x + y = 25$ (for the total weight) and $4.63x + 8.15y = 7.45 \times 25$ (for the total value). Solving these equations simultaneously, we find that $y = 20$, meaning 20 pounds of the more expensive candy should be used.

Solve the Problem Using Matrices $4.63\$ 4.63$4.63 Per Pound with Candy Worth

Solve the Problem Using Matrices $\$ 4.63$ Per Pound with Candy Worth