Answer :
Sure! Let's break down the problem:
1. Understanding what's given:
- Jakob buys lunch three times a week: on Mondays, Wednesdays, and Thursdays.
- Each lunch costs [tex]$3.50.
- We need to find out how many weeks, \( w \), it will take for him to spend a total of $[/tex]84 on these lunches.
2. Calculate the cost per week:
- Jakob spends [tex]$3.50 per lunch.
- He buys lunch three times a week.
- So, the weekly cost for lunches is \( 3.50 \times 3 = 10.50 \).
3. Formulating the equation:
- If we want to find out how many weeks it takes to spend $[/tex]84, we set up the equation based on the total amount spent.
- The equation we use is: [tex]\[ 10.50w = 84 \][/tex]
- This equation suggests that the weekly spending multiplied by the number of weeks equals the total spending of [tex]$84.
4. Solving for \( w \):
- To find \( w \), we divide the total amount ($[/tex]84) by the weekly cost ([tex]$10.50).
- \[ w = \frac{84}{10.50} \]
- Calculating this gives us \( w = 8 \).
Therefore, it will take Jakob 8 weeks to spend $[/tex]84 on lunches. The correct equation from the choices provided is:
[tex]\[ 3.50 \times 3w = 84 \][/tex]
1. Understanding what's given:
- Jakob buys lunch three times a week: on Mondays, Wednesdays, and Thursdays.
- Each lunch costs [tex]$3.50.
- We need to find out how many weeks, \( w \), it will take for him to spend a total of $[/tex]84 on these lunches.
2. Calculate the cost per week:
- Jakob spends [tex]$3.50 per lunch.
- He buys lunch three times a week.
- So, the weekly cost for lunches is \( 3.50 \times 3 = 10.50 \).
3. Formulating the equation:
- If we want to find out how many weeks it takes to spend $[/tex]84, we set up the equation based on the total amount spent.
- The equation we use is: [tex]\[ 10.50w = 84 \][/tex]
- This equation suggests that the weekly spending multiplied by the number of weeks equals the total spending of [tex]$84.
4. Solving for \( w \):
- To find \( w \), we divide the total amount ($[/tex]84) by the weekly cost ([tex]$10.50).
- \[ w = \frac{84}{10.50} \]
- Calculating this gives us \( w = 8 \).
Therefore, it will take Jakob 8 weeks to spend $[/tex]84 on lunches. The correct equation from the choices provided is:
[tex]\[ 3.50 \times 3w = 84 \][/tex]
