To determine the total amount of money all three friends spent on tickets, food, and drink, let's break it down step-by-step:
1. Ticket Costs:
- Each ticket costs [tex]$5.
- There are 3 friends, so we need 3 tickets.
- The total cost for tickets is calculated as:
\[
3 \times 5 = 15
\]
2. Food and Drink Costs:
- Chris spent $[/tex]5.
- Ben spent [tex]$3.
- Danica spent $[/tex]6.
- To find the total cost for food and drinks, we sum up the individual expenditures:
[tex]\[
5 + 3 + 6 = 14
\][/tex]
3. Total Costs:
- Now, we need to find out the total amount of money spent on both tickets and food/drink. We sum the total ticket cost and the total food and drink cost:
[tex]\[
15 + 14 = 29
\][/tex]
Next, we will analyze the given expressions to see which one correctly represents this total amount:
- Expression 1:
[tex]\[
(3 \times 5) \times (5+3+6)
\][/tex]
- This expression calculates:
[tex]\[
15 \times 14 = 210
\][/tex]
- Clearly, this does not match our total of 29, so this expression is incorrect.
- Expression 2:
[tex]\[
(3+5) + (5 \times 3 \times 6)
\][/tex]
- This expression calculates:
[tex]\[
8 + (5 \times 3 \times 6) = 8 + 90 = 98
\][/tex]
- This also does not match our total of 29, so this expression is also incorrect.
The correct expression to represent the total amount spent can be written as:
[tex]\[
(3 \times 5) + (5 + 3 + 6)
\][/tex]
This can be evaluated as:
[tex]\[
15 + 14 = 29
\][/tex]
Therefore, the total amount of money all three friends spent on tickets, food, and drink is $29. The correct expression is [tex]\((3 \times 5) + (5 + 3 + 6)\)[/tex].
