127 children and 264 adults swam at the public pool that day
Step-by-step explanation:
On a certain hot summer's day
- 391 people used the public swimming pool
- The daily prices are $1.25 for children and $2.25 for adults
- The receipts for admission totaled $752.75
We need to find how many children and how many adults swam at the public pool that day
Assume that the number of children is x and the number of adult is y in that day
∵ x children swam that day
∵ y adults swam that day
∵ 391 people used the swimming pool that day
- Add x and y, then equate the sum by 391
∴ x + y = 391 ⇒ (1)
∵ The daily price for children is $1.25 per child
∵ The daily price for an adult is $2.25
∵ The receipts for admission totaled $752.75
- Multiply x by 1.25 and y by 2.25, then add the products and
equate the sum by 752.75
∴ 1.25x + 2.25y = 752.75
- Divide each term by 1.25 to simplify the equation
∴ x + 1.8y = 602.2 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate x
∵ (x - x) + (1.8y - y) = 602.2 - 391
∴ 0.8y = 211.2
- Divide both sides by 0.8
∴ y = 264
- Substitute the value of y in equation (1) to find x
∵ x + 264 = 391
- Subtract 264 from both sides
∴ x = 127
127 children and 264 adults swam at the public pool that day
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
#LearnwithBrainly
, then collect like terms