The City Zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bill was $77.50. If two adults and three children got in for $70.00 then what is the price of an adult's ticket and what is the price of a child's ticket?

The price of an adult's ticket is $18.5 and price of a child's ticket is $11.

Step-by-step explanation:

We are given the following in the question:

Let x dollars be the cost of an adult's ticket and y dollars be the cost of a child's ticket.

The cost of three adults and two children tickets is $77.50

Thus, we can write the equation:

The cost of two adults and three children tickets is $70.00

Thus, we can write the equation:

Solving the two equations, we get

Thus, the price of an adult's ticket is $18.5 and price of a child's ticket is $11.