On a certain hot summer's day, 73 people used the public swimming pool. The daily prices are for children are $1.25 and for adults are $2.25. The receipts for admission totaled $126.25. How many children and how many adults swam at the public pool that day?

There were 35 children and 38 adults at the pool that day.

Step-by-step explanation:

You can use substitution to solve this answer. When solving equations with substitution, ask yourself "how many?" and "how much?" to create two equations:

1.25c+2.25a=126.25  (this equation tells us the dollar value)

c+a=73.   (this equation tells us quantity, or how many)

1. Solve for 1 variable and plug it into the other equation.

a=73-c   > 1.25c+2.25(73-c)=126.25

2. Simplify the equation above.

1.25c+164.25-2.25c=126.25

3. Simplify even more:

-1c+164.25=126.25

4. Subtract 164.25 from both sides to get:

-1c=-38

5. Divide both sides by -1.

c=38 (this means that there are 38 children)

6. Plug the new value for c back into the equation c+a=73.

38+a=73

7. Subtract 38 from both sides to solve for a:

a=35 (this means that there are 35 adults)

I hope this helps!

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation:

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: