At the movies, children's tickets are 6 dollars each and adults tickets are 10 dollars each. Shandra buys 14 tickets. Let a be the number of adults going to the movies. Enter an Algebraic expression to represent the total price shandra pays

To represent the total price Shandra pays for the 14 tickets, we can break down the problem as follows:

1. **Number of adult tickets:**  
   This is given as $ a $ tickets.  
   The cost for the adult tickets is $ 10a $ dollars.

2. **Number of children's tickets:**  
   Since Shandra buys 14 tickets in total, the number of children's tickets is $ 14 - a $.  
   The cost for the children's tickets is $ 6(14 - a) $ dollars.

To find the total price Shandra pays, sum the costs of the adult and children's tickets:

\[
\text{Total price} = 10a + 6(14 - a)
\]

This is the algebraic expression representing the total price Shandra pays for the 14 tickets.

Would you like to simplify the expression or need additional details? Here are 5 related questions you might consider:

1. What is the simplified form of the total price expression?
2. How much would Shandra pay if she buys 5 adult tickets?
3. How would the expression change if children's tickets were $8 each instead of $6?
4. What if Shandra bought 20 tickets instead of 14?
5. Can you represent the total price as a function of $ a $ only?

**Tip:** When solving problems involving costs, always verify that the number of items or tickets matches the given total in the problem.

Learn how to calculate the total price Shandra pays for movie tickets using an algebraic expression. This problem involves determining the cost of adult and children's tickets based on given ticket prices and quantities. Suitable for students in Grades 5-6.

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