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On a certain hot​ summer's day, 573 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $973.00. How many children and how many adults swam at the public pool that​ day?

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Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

 

Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75

 

Now, divide both sides by -$0.25 to get c = 283, the number of children.

 

The number of adults is 340 - c or 340 - 283 = 57

 

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