SOLUTION: Kelly earns $36 for 3 hours of work. At that rate, how long will she have to work to earn $720?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Kelly earns $36 for 3 hours of work. At that rate, how long will she have to work to earn $720?      Log On


   



Question 1128194: Kelly earns $36 for 3 hours of work. At that rate, how long will she have to
work to earn $720?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Kelly earns $36 for 3 hours of work. At that rate, how long will she have to
work to earn $720?
$36 IS TO 3 hours AS $720 IS TO X hours.

"IS TO" means "OVER".  "AS" means "EQUALS"

$36 OVER 3 hours EQUALS $720 OVER X hours.

matrix%281%2C3%2C%0D%0A%0D%0A%22%2436%22%2F3%2C+%22%22=%22%22%2C+%22%24720%22%2FX%29

CROSS MULTIPLY, that is, 

"UPPER LEFT times LOWER RIGHT equals UPPER RIGHT times LOWER LEFT":

matrix%281%2C3%2C%22%2436%22X%2C+%22%22=%22%22%2C+%22%24720%22%2A3%29

matrix%281%2C3%2C%22%2436%22X%2C+%22%22=%22%22%2C+%22%242160%22%29

Divide both sides by $36

 

matrix%281%2C3%2CX%2C+%22%22=%22%22%2C+60%29 

Answer: 60 hours

Edwin