A company manufactures three types of cable. Cable A requires 3 black wires, 3 white wires, and 2 red wires. Cable B requires 1 black, 2 white, and 1 red. Cable C requires 2 black, 1 white, and 2 red. If 100 black wires, 110
White wires, and 90 red wires are required to complete an order, how many of each type of cable are in the
Order?
A) 20 cable A, 30 cable B, 10 cable C
B) 10 cable A, 30 cable B, 20 cable C
C) 10 cable A, 103 cable B, 20 cable C
D) 10 cable A, 30 cable B, 93 cable C

Question

Quizplus · Accepted Answer

To solve this, set up equations based on the requirements for each cable type and the total wires needed. For black wires: 3A + B + 2C = 100, for white wires: 3A + 2B + C = 110, and for red wires: 2A + B + 2C = 90. Solving these equations simultaneously gives the solution: 10 cable A, 30 cable B, 20 cable C.

A Company Manufactures Three Types of Cable