Answer:the price of one adult ticket is $7
the price of one child ticket is $4.5
Explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one child ticket.
The Johnson family bought 4 adult tickets and 2 child tickets for a total of $37. This means that
4x + 2y = 37 - - - - - - - - -1
The Gonzalez family bought 3 adult tickets and 4 child tickets for a total of $39. This means that
3x + 4y = 39 - - - - - - - - - - 2
Multiplying equation 1 by 3 and equation 2 by 4, it becomes.
12x + 6y = 111
12x + 16y = 156
Subtracting, it becomes
- 10y = - 45
y = - 45/-10
y = $4.5
Substituting y = 4.5 into equation 1, it becomes
4x + 2 × 4.5 = 37
4x + 9 = 37
4x = 37 - 9 = 28
x = 28/4 = 7