SOLUTION: Please help me with this difficult question! At a party, there are c children and a adults. The ratio of the number of children to adults at the party is c:a. 3 more children

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Please help me with this difficult question! At a party, there are c children and a adults. The ratio of the number of children to adults at the party is c:a. 3 more children       Log On


   



Question 1099411: Please help me with this difficult question!
At a party, there are c children and a adults.
The ratio of the number of children to adults at the party is c:a.
3 more children and 3 more adults arrive and the ratio is now 2:3.
Then 2 children leave and 2 more adults arrive, and the ratio becomes 1:2.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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At a party, there are c children and a adults.
The ratio of the number of children to adults at the party is c:a.
3 more children and 3 more adults arrive and the ratio is now 2:3.
Then 2 children leave and 2 more adults arrive, and the ratio becomes 1:2.
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system%28%28c%2B3%29%2F%28a%2B3%29=2%2F3%2C%28c%2B1%29%2F%28a%2B5%29=1%2F2%29


Solve that system for c and a.


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system%28a=15%2Cand%2Cc=9%29