Question

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 1

Let the admission price for adults be 'x' and that of children be 'y'

Equation Formation.
2 x + 3 y = 80............equation(i)
3 x + y = 99.............equation(ii)

y = 99 - 3 x
2 x + 3(99 - 3 x) =80
2 x +297 - 9 x = 80
- 7 x = -217
x = 31

y = 99 - 3x
y = 99 - 3×31
y = 99 - 93
y = 6

Answer ⇒ Adults = $31
                  Children = $6