On a certain hot summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for

Question

3 years ago

13

adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that day?

1 answer:

Svetllana [295] · Answer 1 · 2022-12-03T12:00:05+03:00

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given, x+y = 291 (i)

1.5x+2y = 472.50 (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582 (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

$\Rightarrow x=\dfrac{109.50}{0.5}=219$

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.

On a certain hot​ summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for