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?

Question

1.Define your variables. What is a variable you can use to represent the adult cost?

A variable to represent adult cost in the family plan: __________.

Write an expression to represent the cost of the child's ticket in terms of the adult ticket. Remember the child's ticket is $11 less than the adult's ticket. Please be sure to use the same variable that you used above for the adult cost when writing this expression.

An expression to represent the cost of a child's ticket in the family plan: _____________.

2.
There are two adults and three children, and the total cost was $174.45. Write an equation representing the total cost for this family of five.

Equation representing total cost: __________________________ .

3.
Solve your equation to determine the cost of an adult ticket in the family plan. Be sure to show all work.

4.Provide the solutions for the question: How much is each adult ticket and how much is each child's ticket?

Answer: Adult ticket price is $ _________ and Child's ticket price is $ ___________.

Answer 1

Much Ado about nothing.

adult ticket --- x
child's ticket -- x-11

2x + 3(x-11) = 174.45
2x + 3x - 33 = 174.45
5x = 207.45
x = 41.49

Adult tickets cost $41.49
Child's ticket costs $30.49

That is all that is needed for the entire question.
No matter some students hate math, when they are confronted with such highfaluting language for a simple problem

Answer 2

Amen, Reiny!

Answer 3

Let the cost for adults=x
Cost for children=x-11
Number of children=3
Total cost=$174.45
If all would be children then cost would be $174.45-$22=$152.45
Then number of children=5 and cost of each child ticket=$152.45/5=$30.49
Adult's ticket cost=$30.49+$11=41.49