The city zoo has different admission prices for adults and children. when three adults and two children went to the zoo, the bill was $80.89. if two adults and three children got in for $77.01, then what is the price of an adult's ticket and what is the price of a child's ticket?

The price of adult's ticket is $ 17.73     And

The price of children's ticket is $ 13.85

Step-by-step explanation:

Given as :

The Prices for adult ticket and child ticket in the city zoo is different

Let the price for adult's ticket = $ A

And The price for child's ticket = $ C

Now, according to question :

3 A + 2 C = $ 80.89        And

2 A + 3 C = $ 77.01

Now solve the both equation

So, 2 × (3 A + 2 C) = 2 × $ 80.89      And

     3 ×  (2 A + 3 C) = 3 × $ 77.01

I.e

      6 A + 4 C = $ 161.78        And

      6 A + 9 C = $ 231.03

Now, ( 6 A + 9 C ) - ( 6 A + 4 C ) = $ 231.03 -  $ 161.78  

Or,      5 C = $ 69.25

Or,         C = $ 13.85

And Put the value of C in above any eq

       6 A + 4 × ($ 13.85) = $ 161.78

Or,   6 A = $ 161.78 - $ 55.4

Or,   6 A = $ 106.38

∴         A =

Or,     A = $ 17.73

Hence The price of adult's ticket is $ 17.73     And

            The price of children's ticket is $ 13.85    Answer

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