Use a system of linear equations with two variables and two equations to solve.

Question

Admission into an amusement park for 4 children and 2 adults is $117.00. For 6 children and 3 adults, the admission is $175.50 . Assuming a different price for children and adults, what is the price of the child’s ticket and the price of the adult ticket?

 

Answer 1

4C + 2A = 117

2C + A = 58.50

A = 58.5 -2C

6C +3A = 175.50

6C +3(58.5 -2C) = 175.5

6C +175.5 -6C = 175.5

175.5 = 175.5

surprise there is an infinite number of solutions, no unique solution.

the two equations are linearly dependent. If you graph them, they are the same line.