Jakob buys lunch at school on Mondays, Wednesdays, and Thursdays. He spends [tex]\$3.50[/tex] for each lunch. Which equation can be used to find the number of weeks, [tex]w[/tex], it will take Jakob to spend [tex]\$84[/tex] on lunch?

A. [tex]3.50w = 84[/tex]
B. [tex](3 \times 3.50)w = 84[/tex]
C. [tex]3w = 84[/tex]
D. [tex](3 + 3.50)w = 84[/tex]

To solve this problem, we need to find out how many weeks it will take Jakob to spend [tex]$84 on lunch, given that he buys lunch 3 times a week and spends $[/tex]3.50 per lunch.

Here is a step-by-step method to solve it:

1. Calculate Total Weekly Cost:
- Jakob buys lunch on 3 days each week: Monday, Wednesday, and Thursday.
- The cost of each lunch is [tex]$3.50.
- So, the total cost Jakob spends in a week is calculated as:
\[
\text{Total Weekly Cost} = \text{Number of Days} \times \text{Cost per Lunch} = 3 \times 3.50 = 10.50
\]
- Therefore, Jakob spends $[/tex]10.50 each week on lunches.

2. Set Up the Equation:
- We need to find the number of weeks, [tex]$w$[/tex], such that the total spent is [tex]$84.
- The equation based on weekly spending is:
\[
10.50 \times w = 84
\]

3. Solve for $w$:
- To find $w$, we solve the equation:
\[
10.50w = 84
\]
- Divide both sides by 10.50 to solve for $w$:
\[
w = \frac{84}{10.50}
\]

4. Conclusion:
- Solving the above, we find that $w = 8$.
- This means it will take Jakob 8 weeks to spend $[/tex]84 on lunch.

Therefore, the correct equation to find the number of weeks [tex]$w$[/tex] Jakob spends $84 on lunch is (3 \times 3.50) w = 84.