Tim’s painting charges $250 plus $14 per hour. Colorful paints charges $22 per hour. How many hours would the job need to take for Tim’s painting to be better

Question

Solving equations with variables on both sidea

Answer 1

Let h = hours of work.

Cost equations are:

 

Tim:  14h + 250

Colorful:  22h

 

We want to know hen the cost of hiring

Tim's Painting will be less than Colorful.

 

22h > 14h + 250

8h > 250

h > 250/8

h > 31.25 hours

 

At 31 hours 15 minutes the costs are equal.

Past that, Tim's painting is less in overall cost

than Colorful.  

If they charge by quarter hour or half hour

then h = 31.5 hours

If they charge for full hours only, h = 32 hours

Answer 2

h represents the number of hours

250 + 14h < 22h

 

Can you solvle for h and answer?