A single ticket to the magic show costs 
\[t\] dollars, but there is a discount of 
\[5\%\] per ticket if a group buys 
\[10\] tickets.
The expression 
\[10t-10\cdot 0.05t\] describes the total cost of buying 
\[10\] tickets for a group.

The given expression is:

\[
10t - 10 \cdot 0.05t
\]

This expression represents the total cost of buying 10 tickets with a 5% discount applied to each ticket.

Let's break it down:

- $10t$: This represents the total cost of 10 tickets at the regular price, where each ticket costs $t$ dollars.
  
- $10 \cdot 0.05t$: This term represents the total discount. Since each ticket is discounted by $5\%$, which is $0.05t$, the discount for 10 tickets is $10 \cdot 0.05t$.

Now, simplifying the expression:

\[
10t - 10 \cdot 0.05t = 10t - 0.5t = 9.5t
\]

Thus, the total cost of buying 10 tickets with the discount is:

\[
9.5t
\]

This shows that after the 5% discount, the group pays $9.5$ times the price of a single ticket.

### Do you want more details or have any questions?

Here are 5 related questions to expand on the topic:
1. What would be the total cost if the discount were 10% instead of 5%?
2. How much is saved in total by the group when buying 10 tickets at a 5% discount?
3. How would the expression change if 15 tickets were purchased with the same 5% discount?
4. Can you express the discount as a percentage reduction on the total price for 10 tickets?
5. How would the total cost be affected if the ticket price $t$ was increased by $5?

**Tip**: Always check the effect of percentages on a total by multiplying the percentage in decimal form by the total amount!

A single ticket to the magic show costs [t] dollars, but there is a discount of [5%] per ticket if a group buys [10] tickets. The expression [10t - 10 * 0.05t] describes the total cost of buying [10] tickets for a group.

Learn how to calculate the total cost of buying 10 tickets to a magic show with a 5% discount. This algebra problem helps you apply percentage discount calculations and simplify expressions. Suitable for students in Grades 6-8.

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