Answer:
The number of children = x = 176
The number of Adults = y = 87
Step-by-step explanation:
Let us represent
The number of children = x
The number of Adults = y
On a certain hot summer's day, 263 people used the public swimming pool.
x + y = 263.... Equation 1
x = 263 - y
The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.
$1.25 × x + $2.50 × y = $437.50
1.25x + 2.50y = 437.50.....Equation 2
We substitute 263 - y for x in Equation 2
1.25(263 - y) + 2.50y = 437.50
328.75 - 1.25y + 2.50y = 437.50
- 1.25y + 2.50y = 437.50 - 328.75
1.25y = 108.75
y = 108.75 ÷ 1.25
y = 87
Solving for x
x = 263 - y
x = 263 - 87
x = 176
Therefore:
The number of children = x = 176
The number of Adults = y = 87
