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) 20 A; 15 B; 15 C
B) 15 A; 16 B; 15 C
C) 48 A; 20 B; 12 C
D) 15 A; 20 B; 15 C

Question

Quizplus · Accepted Answer

To solve, set up equations based on the wire requirements and total wires used: 3A + B + 2C = 95 (black), 3A + 2B + C = 100 (white), 2A + B + 2C = 80 (red). Solving these equations gives A = 15, B = 20, C = 15.

A Company Makes 3 Types of Cable