Question 1189927: On a certain hot summer's day, 317 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $678.75. How many children and how many adults swam at the public pool that day?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! On a certain hot summer's day, 317 people used the public swimming pool.
The daily prices are $1.75 for children and $2.25 for adults.
The receipts for admission totaled $678.75.
How many children and how many adults swam at the public pool that day?
:
let c = no. of children
let a = no. of adults
:
Write an equation for each statement
" 317 people used the public swimming pool."
c + a = 317
or
c = (317 - a); use this form for substitution
:
" The daily prices are $1.75 for children and $2.25 for adults.
The receipts for admission totaled $678.75."
1.75c + 2.25a = 678.75
:
In the above equation, replace c with (317-a)
1.75(317-a) + 2.25a = 678.75
554.75 - 1.75a + 2.25a = 678.75
-1.75a + 2.25a = 678.75 - 554.75
.50a = 124
a = 124/.5
a = 248 adults
then
317 - 248 = 69 children
:
:
confirm this, find how much revenue from each group
248 * 2.25 = $558.00
69 * 1.75 = $120.75
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total rev: $678.75
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