SOLUTION: The ratio of fairies to elves was 7 to 2, and the number of fairies was 11 greater than 3 times the number of elves. How many of each were there?

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Question 169500: The ratio of fairies to elves was 7 to 2, and the number of fairies was 11 greater than 3 times the number of elves. How many of each were there?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
7/2=f/e where f and e are the number of fairies and elves respectively
:
2f=7e
:
f=3e+11-----> so lets take f's value and plut it into the first equation
:
2(3e+11)=7e
6e+22=7e
highlight%28e=22%29elves
highlight%28f=3%2822%29%2B11=77%29fairies