Answer:
Number of children = x = 88
Number of Adults = y = 252
Step-by-step explanation:
Let us represent:
Number of children = x
Number of Adults = y
On a certain hot summer's day, 340 people used the public swimming pool.
Hence:
x + y = 340..... Equation 1
x = 340 - y
The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00.
$1.25 × x + $2.25 × y =$ 677
1.25x + 2.25y = 677..... Equation 2
Let us substitute: 340 - y for x in Equation 2
1.25(340 - y) + 2.25y = 677
= 425 - 1.25y + 2.25y = 677
Collect like terms
- 1.25y + 2.25y = 677 - 425
1y = 252
y = 252
Solving for x
x = 340 - y
x = 340 - 252
x = 88
Therefore the number of children and adults that swam at the public pool that day are: 88 children and 252 Adults.e
