Question

The total length of wires a b and c is 445 cm wire a is 45 cm longer then wire b and wire b is half as long as wire c how long is wire a

Answer 1

`a = 145\ cm`

Explanation:

Given

`a + b + c = 445`

`a = 45 + b`

`b = (1)/(2)c`

Required

Determine the length of a

Solve for c in
`b = (1)/(2)c`

`2 * b = (1)/(2)c * 2`

`2b = c`

`c = 2b`

Substitute
`c = 2b` and
`a = 45 + b` in
`a + b + c = 445`

`a + b + c = 445`

`45 + b + b + 2b = 445`

`45 + 4b = 445`

Solve for 4b

`4b = 445 - 45`

`4b = 400`

Solve for b

`b = 400/4`

`b = 100`

Recall that:
`a = 45 + b`

`a=45+100`

`a = 145\ cm`