At the zoo, the Spencer family bought 3 adult tickets and 2 children's tickets for 23.50. The Yang family bought 2 adult tickets and 4 children's tickets for 25. How much does an adut ticket cost, and how much does a children's ticket cost?
+592 Let a = adult ticket cost and c = children ticket cost.
3a + 2c = 23.50
2a + 4c = 25.00
System of Equations:
2(3a + 2c = 23.50)
= 6a + 4c = 47
2a + 4c = 25
----------------------
4a = 22
a = $5.50
3a + 2c = 23.50
3(5.5) + 2c = 23.50
16.5 + 2c = 23.5
2c = 7
c = $3.50
+36916 3a + 2c = 23.5
2a + 4c = 25 multiply first equation by -2 to get
-6a - 4c = -47 add to second equation
-4a = - 22
a = $ 5.50 now use this value in one of the equations to calculate the childrens' price
