Question

There are 150 adults and 225 children at a zoo. If the zoo makes a total of $5100 from the entrance fees, and of an adult and a child to attend is $31, how much does it cost for a parent and child

Answer 1

The cost for an adult ticket at the zoo is $25, and the cost for a child ticket is $6, determined by solving a system of linear equations.

Step-by-step explanation:

The student's question focuses on solving a system of linear equations to determine the entrance fees for adults and children at a zoo. We are informed that there are 150 adults and 225 children, with combined entrance fees amounting to $5100. The cost of a combined adult and child ticket is $31, and we need to calculate the individual costs.

Let's assign variables: Let A be the cost for an adult ticket, and C be the cost for a child ticket. We then have two equations derived from the information given:

150A + 225C = 5100 (total revenue)

A + C = 31 (cost of a combined adult and child ticket)

To solve the system, we can use the method of substitution or elimination. For ease, let's express C in terms of A from the second equation: C = 31 - A. Substituting this into the first equation gives us:

150A + 225(31 - A) = 5100

150A + 6975 - 225A = 5100

-75A = -1875

A = 25

Now that we know A = $25 (the cost of an adult ticket), we can find the cost of a child's ticket:

C = 31 - A

C = 31 - 25

C = $6

Therefore, the cost for an adult ticket is $25, and the cost for a child ticket is $6.

Answer 2

is this a multiple choice question