Three friends went to a school play. Each ticket was [tex]$\$[/tex]5[tex]$. They each spent different amounts of money on food and drink.

\[
\begin{tabular}{|c|c|}
\hline
Name & Food and drink costs \\
\hline
Chris & $[/tex]\[tex]$5$[/tex] \\
\hline
Ben & [tex]$\$[/tex]3[tex]$ \\
\hline
Danica & $[/tex]\[tex]$6$[/tex] \\
\hline
\end{tabular}
\]

Which of these expressions can be used to find the total amount of money all three friends spent on tickets, food, and drink?

A. [tex]\((3 \times 5) + (5 + 3 + 6)\)[/tex]

B. [tex]\((3 + 5) + (5 \times 3 \times 6)\)[/tex]



Answer :

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].