Swimming Pool On a certain hot summer's day, 510 people used the public swimming pool. The
daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1116.00.
How many children and how many adults swam at the public pool that day?
There were
children at the public pool.

Question

contestada

Respuesta :

absor201 absor201 · Answer 1 · 2019-12-14T09:56:32+01:00

159 children and 351 adults swam at the public pool that day.

Step-by-step explanation:

Total people = 510

Total receipts worth = $1116.00

Cost for one child = $1.50

Cost for one adult = $2.50

Let,

x be the number of children.

y be the number of adults.

According to given statement;

x+y=510 Eqn 1

1.50x+2.50y=1116.00 Eqn 2

Multiplying Eqn 1 by 1.50

[tex]1.50(x+y=510)\\1.50x+1.50y=765\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2;

[tex](1.50x+2.50y)-(1.50x+1.50y)=1116.00-765\\ 1.50x+2.50y-1.50x-1.50y=351\\1.00y=351\\y=351[/tex]

Putting y=351 in Eqn 1

[tex]x+351=510\\x=510-351\\x=159[/tex]

159 children and 351 adults swam at the public pool that day.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly