Question

A plumber charges 130 to start job plus 56 per hour . How many hours did she work if the total bill is 214

Answer 1

`hours=1.5`

Explanation:

Make an equation. Note key words like "plus", "per" and "total"

`130+56h=214`

where
`h` is the total hours worked. Solve for
`h`:

Subtract 130 from both sides and simplify

`130-130+56h=214-130\\56h=214-130\\56h=84`

Divide both sides by 56 to isolate the variable

`(56h)/(56) =(84)/(56)\\\\h=(84)/(56) \\\\h=(3)/(2) \\\\h=1.5`

The plumber worked for an hour and a half.

Done.

Answer 2

The plumber worked for 1.5 hours

Explanation:

y = 130 + 56x

Substitute 214 for y in the equation

214 = 130 + 56x

-130 -130 Subtract 130 from both sides

84 = 56x Divide both sides by 56

1.5 = x