SOLUTION:  On a certain hot​ summer's day, 359 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $698

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Question 1204960:  On a certain hot​ summer's day, 359 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $698.75  How many children and how many adults swam at the public pool that​ day?
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
On a certain hot​ summer's day, 359 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $698.75  How many children and how many adults swam at the public pool that​ day?
359 people used the public swimming pool.
Let x be the number of children who used the pool. The daily prices are $1.25 for children
The receipts from children = 1.25x
y be the number of adults who used the pool . $2.50 for adults.
Receipts from adults will be 2.50y
Total receipts was $698.75 
1.25x+2.50y= $698.75 ------------------(1)
359 people used the public swimming pool.
x+y=359--------------------------------------(2)
multiply by 1.25
1.25x+1.25y = 1.25*359
1.25x+1.25y=448.75 subtract (1) from this equation
1.25x+2.50y= $698.75
-1.25y =-250
y= 200 adults used the pool
Remaining were children 359-200 = 159
Check
1.25*159+2.50*200 =698.75
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
                PRICE           QTY          MONEY

CHILDREN          1.25          359-A      1.25(359-A)

ADULTS            2.50          A          2.5A

Total                          359           698.75

Only one single variable was assigned to the number of adults, for convenience.
Solve the equation for A, .
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