SOLUTION: An amusement park charges one admission price for adults and another admission price for children under 12. The Smoke family has two adults and three children under 12. The cost fo

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: An amusement park charges one admission price for adults and another admission price for children under 12. The Smoke family has two adults and three children under 12. The cost fo      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 751364: An amusement park charges one admission price for adults and another admission price for children under 12. The Smoke family has two adults and three children under 12. The cost for their admission to the amusement park is $80. The Chalmers family has three adults and one child under 12. Their total admission cost is $99. What is the admission price for an adult and the admission price for a child?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Adult price, a.
Child price, c.

The Smoke family
2a+3c=80
The Chalmers family
3a+1*c=99

System of Equations:
2a%2B3c=80
3a%2Bc=99

(2 3 80)
(3 1 99)

(2 3 80)
(9 3 297)

(9 3 297)
(2 3 80)
Subtract second line from the first line: (7 0 217) meaning 7a=217
highlight%28a=31%29.
You can either original equation to find c.