202k views
4 votes
On a certain hot​ summer's 439 day, people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1021.00 How many children and how many adults swam at the public pool that​ day?

1 Answer

5 votes

Answer:102 children and 337 adults swam at the publice pool that da

Explanation:

let the number of children be x

and

the number of adults be y

such that the total number of people who came to use the public swimming pool be expressed as

x + y = 439----- Equation 1

and price for swimming be expressed as

1.75x + 2.50y =1021----- Equation 2

Step 2

x + y = 439----- Equation 1

1.75x + 2.50y =1021----- Equation 2

First make x the subject formulae and put in equation 2

x= 439-y

1.75 (430-y) + 2.50y = 1021

Solving gives

768.25-1.75y+2.50y=1021

2.50y-1.75y=1021-768.25

0.75y=252.75

y =252.75/0.75

y=337

To find x, put the value of y = 337 in equation 1

x+y= 439

x= 439-337

x=102

Therefore 102 children and 337 adults swam at the public pool that day

User Rick Button
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories