Question

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?

Answer 1

The price of adult's ticket is $ 17.73 And

The price of children's ticket is $ 13.85

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 =
`(106.38)/(6)`

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