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?

Guest Feb 14, 2021

#1**+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

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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

Logarhythm Feb 14, 2021

#2**+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

ElectricPavlov Feb 14, 2021