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

Answer:

$hours=1.5$

Step-by-step 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

$\frac{56h}{56} =\frac{84}{56}\\\\h=\frac{84}{56} \\\\h=\frac{3}{2} \\\\h=1.5$

The plumber worked for an hour and a half.

Done.

Answer 2

Answer:

The plumber worked for 1.5 hours

Step-by-step 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