Solve.
-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. They used 100 black, 110 white and 80 red wires. How Many of each cable were made?
A)20 cable A
20 cable B
83 cable C

B)20 cable A
10 cable B
20 cable C

C)20 cable A
20 cable B
10 cable C

D)20 cable A
93 cable B
10 cable C

Question

Solve.
-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. They used 100 black, 110 white and 80 red wires. How Many of each cable were made?
A)20 cable A
20 cable B
83 cable C

B)20 cable A
10 cable B
20 cable C

C)20 cable A
20 cable B
10 cable C

D)20 cable A
93 cable B
10 cable C

Quizplus · Accepted Answer

Let x be the number of Cable A made.
Then the number of Cable B made is y, and the number of Cable C made is z.

We have the following system of equations:
3x + y + 2z = 100     (black wires)
3x + 2y + z = 110     (white wires)
2x + y + 2z = 80      (red wires)

We can solve the equations using substitution or elimination method and obtain x = 20, y = 20, and z = 10.

Therefore, the best choice is C, which corresponds to 20 cable A, 20 cable B, and 10 cable C.

Solve. -A Company Makes 3 Types of Cable. Cable a Requires