Solve the problesmby writing and solving a suitable system of equaions. 9. Cyber
ID: 3121984 • Letter: S
Question
Solve the problesmby writing and solving a suitable system of equaions.
9. Cyberworld Cable Company makes 3 types of cable. Cable X requires 2 black, 1 white, and 2 red wires. Cable Y requires 1 black, 3 white, and 2 red wires. Cable Z requires 2 black, 1 white, and 3 red wires. Cyberworld used 150 block, 200 white and 230 red wires. How many of each cable were made?
A. 30 cable X
50 cable Y
20 cable Z
B. 20 cable X
50 cable Y
30 cable Z
C. 20 cable X
40 cable Y
30 cable Z
D. 20 cable Z
50 cable Y
40 cable Z
Explanation / Answer
Company makes 3 types of cables. Cable X requires 2 black, 1 white, and 2 red wires.
Y requires 1 black, 3 white, and 2 red. Z requires 2 black, 1 white, and 3 red.
They used 150 black, 200 white, and 230 red wires.
How many of each cable were made?:
Let a = no. of Black cables
Let b = no. of white cables
Let c = no. of red cables
:
Write an equation for each color wire
black: 2a + b + 2c = 150.......1
white: 1a + 3b + c = 200......2
red: 2a + 2b + 3c = 230.......3
Multiply equation 2nd by 2 and Subtracting from equation 1 we get
5b = 250
b = 50
Subtracting from 1 equation 3 we get
b + c = 80
c = 30
and a = 20
B option
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