Answer :
Sure! Let's solve this step by step:
1. Understand the problem: Jakob buys lunch at school 3 times a week (on Mondays, Wednesdays, and Thursdays). Each lunch costs [tex]$3.50. We need to find out how many weeks it will take Jakob to spend a total of $[/tex]84 on these lunches.
2. Determine Jakob's weekly spending on lunches: Since Jakob buys lunch 3 times a week and each lunch costs [tex]$3.50, we calculate his total spending per week as follows:
\[
\text{Weekly Spending} = 3 \times 3.50 = \$[/tex]10.50
\]
3. Set up the equation: We want to find the number of weeks, [tex]\( w \)[/tex], it will take for Jakob to spend [tex]$84. This can be represented by the equation:
\[
10.50w = 84
\]
This equation represents the total money spent, where \( 10.50w \) is the weekly spending multiplied by the number of weeks \( w \).
4. Solve for \( w \): To find \( w \), divide both sides of the equation by $[/tex]10.50:
[tex]\[
w = \frac{84}{10.50}
\][/tex]
5. Calculate the result:
[tex]\[
w = 8
\][/tex]
So, it will take Jakob 8 weeks to spend $84 on lunches. The equation that correctly models this situation is [tex]\((3 \times 3.50)w = 84\)[/tex], which simplifies to [tex]\(10.50w = 84\)[/tex].
1. Understand the problem: Jakob buys lunch at school 3 times a week (on Mondays, Wednesdays, and Thursdays). Each lunch costs [tex]$3.50. We need to find out how many weeks it will take Jakob to spend a total of $[/tex]84 on these lunches.
2. Determine Jakob's weekly spending on lunches: Since Jakob buys lunch 3 times a week and each lunch costs [tex]$3.50, we calculate his total spending per week as follows:
\[
\text{Weekly Spending} = 3 \times 3.50 = \$[/tex]10.50
\]
3. Set up the equation: We want to find the number of weeks, [tex]\( w \)[/tex], it will take for Jakob to spend [tex]$84. This can be represented by the equation:
\[
10.50w = 84
\]
This equation represents the total money spent, where \( 10.50w \) is the weekly spending multiplied by the number of weeks \( w \).
4. Solve for \( w \): To find \( w \), divide both sides of the equation by $[/tex]10.50:
[tex]\[
w = \frac{84}{10.50}
\][/tex]
5. Calculate the result:
[tex]\[
w = 8
\][/tex]
So, it will take Jakob 8 weeks to spend $84 on lunches. The equation that correctly models this situation is [tex]\((3 \times 3.50)w = 84\)[/tex], which simplifies to [tex]\(10.50w = 84\)[/tex].
