Question

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?

Answer 1

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

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!