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 80 red wires.
How many of each type of cable were made?
A) 15 A; 16 B; 15 C
B) 15 A; 20 B; 15 C
C) 48 A; 20 B; 12 C
D) 20 A; 15 B; 15 C

Question

Quizplus · Accepted Answer

Let the number of cables A, B, and C made be a, b, and c respectively. We have the following system of equations based on the problem statement:- For black wires: 3a + 1b + 2c = 95- For white wires: 3a + 2b + 1c = 100- For red wires: 2a + 1b + 2c = 80Solving this system of equations, we find that a = 15, b = 20, and c = 15, which corresponds to option B: 15 A; 20 B; 15 C.

A Company Makes 3 Types of Cable