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 f

Question

3 years ago

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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 f

or adults. The receipts for admission totaled $ 743.75. How many children and how many adults swam at the public pool that day?

Mathematics

1 answer:

kykrilka [37] · Answer 1 · 2021-11-09T21:02:48+03:00

Number of Children = 165

Number of Adults = 182

Step-by-step explanation:

Let x be the number of children and y be the number of adults

Then according to given statements

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

$y=\frac{136.5}{0.75}\\y=182\\Putting\ y=182\ in\ eqn\ 1\\x+182=347\\x=347-182\\x=165$

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 f

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 f