You earn $7. 50 per hour to help your uncle in his shop. You earn $33.75. Write and solve an equation to find how many hours you worked.

Question

Find how many hours you've worked. 

Answer 1

Hi Rtykdhs,

 

Let's begin by writing the equation in words to express the worker's earnings:

    Rate x Time = Earnings

 

Now let's rewrite this equation replacing the words with our given numerical facts and our unknown (x):

 

    Rate x Time = Earnings 

 

    Rate = $7.50 per hour

    Time = x (# hours worked)

    Earnings = 33.75

 

    (7.50)(x) = 33.75

 

Finally, we'll solve our equation for our unknown (x):

    (7.50)(x) = 33.75

    7.50x = 33.75

          x = 33.75/7.50

          x = 4.5 (# hours worked)

 

It's often helpful to first form our equations in words, which will then serve as a guide to forming the same equation mathematically in terms of what is given and what needs to be found.

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.