Solve the problem.
-A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. The company used 95 black, 100
White and 85 red wires. How many of each type of cable were made?
A) 10 A; 17 B; 20 C
B)53 A; 25 B; 17 C
C)10A; 25 B; 20 C
D)25 A; 10 B; 20 C

Question

Quizplus · Accepted Answer

To solve this, we set up a system of equations based on the information given:Let $x$ be the number of Cable A, $y$ be the number of Cable B, and $z$ be the number of Cable C produced.From the black wires:$$3x + 1y + 2z = 95$$From the white wires:$$3x + 2y + 1z = 100$$From the red wires:$$2x + 1y + 2z = 85$$Solving this system of equations, we find that $x = 10$, $y = 25$, and $z = 20$, which corresponds to option C: 10A; 25 B; 20 C.

Solve the Problem. -A Company Makes 3 Types of Cable. Cable a Requires