Answer:
Step-by-step explanation:
Let x represent the cost of one adult tickets to space city amusement park.
Let y represent the cost of one child tickets to space city amusement park.
The henson family bought 3 adult and 1 child for 163$. This means that
3x + y = 163 - - - - - - - - - - - - 1
The garcia family bought 2 adult and 3 child for 174$. This means that
2x + 3y = 174 - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 2y = 326
6x + 9y = 522
Subtracting, it becomes
- 7y = - 196
y = - 196/- 7 = $28
Substituting y = 28 into equation 1, it becomes
3x + 28 = 163
3x = 163 - 28 = 135
x = 135/2 = $45
