5.3.ps-10\nswimming pool on a certain hot summers day, 368 people used the public swimming pool. the daily…

5.3.ps-10\nswimming pool on a certain hot summers day, 368 people used the public swimming pool. the daily prices are $1.25 for children and $2.50 for adults. the receipts for admission totaled $631.25. how many children and how many adults swam at the public pool that day?\nthere were □ children at the public pool.

5.3.ps-10\nswimming pool on a certain hot summers day, 368 people used the public swimming pool. the daily prices are $1.25 for children and $2.50 for adults. the receipts for admission totaled $631.25. how many children and how many adults swam at the public pool that day?\nthere were □ children at the public pool.

Answer

Answer:

171 children and 197 adults swam at the pool that day.

Explanation:

Step1: Define variables

Let $c$ = number of children, $a$ = number of adults.

Step2: Set up total people equation

$c + a = 368$

Step3: Rearrange to isolate $a$

$a = 368 - c$

Step4: Set up total receipts equation

$1.25c + 2.50a = 631.25$

Step5: Substitute $a$ into receipts equation

$1.25c + 2.50(368 - c) = 631.25$

Step6: Expand and simplify

$1.25c + 920 - 2.50c = 631.25$ $-1.25c = 631.25 - 920$ $-1.25c = -288.75$

Step7: Solve for $c$

$c = \frac{-288.75}{-1.25} = 171$

Step8: Solve for $a$

$a = 368 - 171 = 197$