SOLUTION: On a certain hot​ summer's day, 708 people used the public swimming pool. The daily prices are $ 1.75$ for children and $2.00 for adults. The receipts for admission totaled $

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Question 1040417: On a certain hot​ summer's day, 708 people used the public swimming pool. The daily prices are $ 1.75$ for children and $2.00 for adults. The receipts for admission totaled $1326.25. How many children and how many adults swam at the public pool that​ day?
Found 2 solutions by Boreal, jorel555:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
C+A=708
1.75C+2A=1326.25
multiply first one by -2
-2C-2A=-1416
1.75C+2A=1326.25
-0.25C=-89.75
C=359 children@1.75=628.25
A=349 adults @2=698
Total is $1326.25

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number of adults that day. Then:
2n+1.75(708-n)=1326.25
200n+175(708-n)=132625
200n+123900-175n=132625
25n=8725
n=349
There were 349 adults, and 359 children that day ☺☺☺