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 $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?

Answer 1

Answer:

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:

$3x + 2y = 77.50$

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

Thus, we can write the equation:

$2x+3y = 70$

Solving the two equations, we get

$6x+4y-(6x+9y) = 155-210\\\Rightarrow -5y = -55\\\Rightarrow y = 11\\\Rightarrow 2x + 33 = 70\\\Rightarrow x = 18.5$

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