On a certain hot summer's day, 677 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 1188.00 . How many children and how many adults swam at the public pool that day?

[tex]1.50(677-y)+2y=1188\\1015.5-1.5y+2y=1188\\0.5y=1188-1015.5\\0.5y=172.5\\\frac{0.5y}{0.5}=\frac{172.5}{0.5}\\y=345\\Putting\ y=345\ in\ first\ equation\\x+345=677\\x=677-345\\x=332[/tex]

So, 332 children and 345 adults swam at the public pool that day

Keywords: Linear equations, Solution of linear equations

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On a certain hot​ summer's day, 677 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 1188.00 . How many children and how many adults swam at the public pool that​ day?

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On a certain hot summer's day, 677 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 1188.00 . How many children and how many adults swam at the public pool that day?