Question

A family of 5 comes to the amusement park. There are two adults and three children (under the age of 12). They qualify for a special family rate of $174.45. The clerk tells them that a child's ticket always costs $11 less than an adult's ticket. How much is each adult ticket and how much is each child's ticket?

Answer 1

First off, you need to identify your variables.

Let x be the number of Adult Tickets
Let y be the number of Child Tickets.

Now we have an equation.

$174.45 = 2x + 3y

Since we know that an adult's ticket costs 11 dollars more than a child's ticket, let's substitute x by y and add the extra dollars.

$174.45 = 2y + 3y +22

$152.45 = 5y

y = $30.49

This is the price for a child's ticket.

Now we have to find the price for an adult's ticket (x) so we will use the first equation we had but we will substitute the y for it's price.

$174.45 = 2x + 3($30.49)

$174.45 = 2x +$91.47

2x = $82.98

x = $41.49

(41.49, 30,49)

Hope I helped.