SOLUTION: in a PTA fund raising activity, couples who came were charged 400 pesos. however, if only one parent came, he was charged 250 pesos. 59 people who attended the activity and 12150 p

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Question 1004237: in a PTA fund raising activity, couples who came were charged 400 pesos. however, if only one parent came, he was charged 250 pesos. 59 people who attended the activity and 12150 pesos was raised. how many couples attended?



Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
c, couples count
s, singles count

400c%2B250s=12150, to count the money

Couple, means 2, and single, means 1; which are rates, themselves.
Use this to account for the 59 PEOPLE who attended.
%282%2F1%29c%2Bs=59
or simply
2c%2Bs=59

Obtain the system system%28400c%2B250s=12150%2C2c%2Bs=59%29.

Obvious simplification first,
system%288c%2B5s=243%2C2c%2Bs=59%29.
Now, solve the system.

Elimination might be one way to go.
system%288c%2B5s=243%2C8c%2B4s=236%29
Subtract the second from the first,
s=43-36
highlight%28s=7%29

Finding how many couples,
2c%2Bs=59
2c=59-s
c=%2859-s%29%2F2
c=%2859-7%29%2F2
highlight%28c=26%29-------how many couples attende