A Company Makes 3 Types of Cable $B$ Requires 1 Black, 2 White, and 1 Red

Multiple Choice

A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. Cable $B$ requires 1 black, 2 white, and 1 red. Cable $C$ requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 80 red wires. How many of each cable were made?

A) Cable A: 20 ; cable B: 20; cable C: 83
B) Cable A: 20; cable B: 93; cable C: 10
C) Cable A: 10; cable B: 20; cable C: 20
D) Cable A: 20; cable B: 20; cable C: 10