Answer :
To find out how many weeks it will take Jakob to spend [tex]$84 on lunch, let's go through the problem step-by-step:
1. Understand the Problem:
- Jakob buys lunch three times a week: Mondays, Wednesdays, and Thursdays.
- Each lunch costs $[/tex]3.50.
- We need to find out how many weeks it will take for Jakob to spend a total of [tex]$84.
2. Set Up the Equation:
- Each week, Jakob buys 3 lunches.
- Therefore, each week, he spends `3 * $[/tex]3.50` on lunch.
- The equation to find the number of weeks, [tex]\( w \)[/tex], it will take Jakob to spend [tex]$84, based on his spending per week, is:
\[
3 \times 3.50 \times w = 84
\]
3. Solve for \( w \):
- The equation simplifies to:
\[
10.5w = 84
\]
- Now, divide both sides by 10.5 to solve for \( w \):
\[
w = \frac{84}{10.5} = 8
\]
So, it will take Jakob 8 weeks to spend $[/tex]84 on lunch.
The equation that matches this solution from the options given is:
- [tex]\( 3(3.50)w = 84 \)[/tex]
This is the correct equation to use to find [tex]\( w \)[/tex].
1. Understand the Problem:
- Jakob buys lunch three times a week: Mondays, Wednesdays, and Thursdays.
- Each lunch costs $[/tex]3.50.
- We need to find out how many weeks it will take for Jakob to spend a total of [tex]$84.
2. Set Up the Equation:
- Each week, Jakob buys 3 lunches.
- Therefore, each week, he spends `3 * $[/tex]3.50` on lunch.
- The equation to find the number of weeks, [tex]\( w \)[/tex], it will take Jakob to spend [tex]$84, based on his spending per week, is:
\[
3 \times 3.50 \times w = 84
\]
3. Solve for \( w \):
- The equation simplifies to:
\[
10.5w = 84
\]
- Now, divide both sides by 10.5 to solve for \( w \):
\[
w = \frac{84}{10.5} = 8
\]
So, it will take Jakob 8 weeks to spend $[/tex]84 on lunch.
The equation that matches this solution from the options given is:
- [tex]\( 3(3.50)w = 84 \)[/tex]
This is the correct equation to use to find [tex]\( w \)[/tex].
