Answer:
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!
