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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?

 Feb 14, 2021
 #1
avatar+268 
+1

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

 Feb 14, 2021
 #2
avatar+29088 
+1

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

 Feb 14, 2021

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