Question 943827: Jim and Susan mow lawns. The ratio that compares the amount of time each works is 8:5. They were paid $65 for their work. How much did Susan earn if she worked more than Jim?
a. $25
b. $45
c. $30
d. $40
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the ratio of the number of hours susan worked to the number of hours jim worked is 8:5.
this means that, for every 13 hours that they both worked, susan worked 8 of them and jim worked 5 of them.
if we assume that they both worked a total of 13 hours, and if we let x equal to amount of money they made per hour, then the equation would become:
13x = 65.
divide both sides of this equation by 13 and you get:
x = 5 dollars per hour.
since susan worked 8 hours, she makes 40 dollars and jim makes 25 dollars.
the problem is a little tricky because they don't tell you the total amount of hours that they both worked, but you will get the same answer regardless.
for example:
assume they took a total of 26 hours to do the job.
65 / 26 = 2.50 per hour.
since the ratio is still 8 hours for susan to 5 hours for jim for every 13 hours that they both worked, this means that susan worked 16 hours and jim worked 10 hours.
16 * 2.50 = 40 dollars
10 * 2.50 = 25 dollars.
the answer is the same no matter how many hours they worked to finish the job.
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