On a certain hot summer's day, 288 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.25 for adults. The receipts for admission totaled $ 571.50 .  How many children and how many adults swam at the public pool that day?

153 children, 135 adults

Step-by-step explanation:

Let a represent the number of children

Let b represent the number of adults

a+b=288equation 1

Since the daily price for children is $1.75 and the price for adults is $2.25. Then equation 2 can be expressed as

1.75a+2.25b=571.50equation 2

From equation 1

a+b=288

a=288-b

Substitute (288-b) for a in equation 2

1.75(288-b) +2.25b=571.50

504-1.75b+2.25b=571.50

Collect the like terms

-1.75b+2.25b= 571.50-504

0.5b=67.5

Divide both sides by the coefficient of b which is 0.5

0.5b/0.5=67.5/0.5

b= 135

Substitute 135 for b in equation 1

a+b=288

a+135=288

a=288-135

a= 153

Hence 153 children and 135 adults swam at the pool

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic