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?
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: _____________.

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: __________________________ .

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

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 $ ___________.
Here is what you are going to do:

Imagine you are part of a group of 10 students coming to the amusement park. Let's imagine that the rate for a group of 10 students is $419.50. Is this a better deal than everyone purchasing his or her own ticket using a student discount?

Answer 1

174.75= 2a+3c

Adult= A

Child=C

Equation for childs ticket = T-2a-2c

Equation for all= 174.75= 2a+3c

Adult price=28.35

Child price= 17.35

No it is cheaper to use discount then pay 41.95 each

My work-

c+11=a

5a+33=174.75

174.75-33=5a

141.75=5a

28.35=a

28.35-11=c

17.35=c