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 100 black, 110 white and 90 red
Wires. How many of each type of cable were made?
A) 10 A; 30 B; 93 C
B) 10 A; 30 B; 20 C
C) 10 A; 103 B; 20 C
D) 20 A; 30 B; 10 C

Question

Quizplus · Accepted Answer

To solve this, set up equations based on the information given:For black wires: 3A + 1B + 2C = 100For white wires: 3A + 2B + 1C = 110For red wires: 2A + 1B + 2C = 90Solving these equations simultaneously gives A = 10, B = 30, C = 20.

A Company Makes 3 Types of Cable