On a certain hot​ summer's day, 336 people used the public swimming pool. The daily prices are $1.50 for children and $2.50for adults. The receipts for admission totaled $613.00 How many children and how many adults swam at the public pool that​ day?

Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

227 children and 109 adults

Step-by-step explanation:

227*1.5+109*2.5=613

227+109=336

The carp is swimming farther beneath the water's surface.

Step-by-step explanation:

The water surface is considered the number 0 in the number line. Positions below water's surface are considered negative.

The integer that represents the position of the carp is -8 1/4 feet or -8.25 feet.

The integer that represents the position of the sunfish is -3 1/2 feet or -3.5 feet.

In the number line we can see that carp postion is at the left most of the water surface, so the carp is swimming farther beneath the water's surface.