On a certain hot summer's day, 347 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.50 for adults. The receipts for admission totaled $ 743.75. How many children and how many adults swam at the public pool that day?

[tex]x+y=347\ \ \ \ \ Eqn\ 1\\and\\1.75x+2.50y=743.75\ \ \ \ Eqn 2\\From 1:\\x=347-y\\Putting\ this\ in\ equation\ 2\\1.75(347-y)+2.50y=743.75\\607.25-1.75y+2.50y=743.75\\0.75y+607.25=743.75\\0.75y=743.75-607.2\\0.75y=136.5\\[/tex]

[tex]y=\frac{136.5}{0.75}\\y=182\\Putting\ y=182\ in\ eqn\ 1\\x+182=347\\x=347-182\\x=165[/tex]

Number of Children = 165

Number of Adults = 182

Keywords: Linear Equations, System of Equations

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On a certain hot​ summer's day, 347 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.50 for adults. The receipts for admission totaled $ 743.75. 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, 347 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.50 for adults. The receipts for admission totaled $ 743.75. How many children and how many adults swam at the public pool that day?