Question
gloria earned at total of 810 she earned 162 babysitting and the rest from mowing which bar model and solution represent x the amout she earn mowing
Answers
GPT-4o mini
To solve the problem of how much Gloria earned from mowing, we can use a simple equation. Let's first determine how much she earned from mowing by using the total amount she earned and the amount she made babysitting.
1. **Total Earnings**: $810
2. **Babysitting Earnings**: $162
3. **Mowing Earnings**: \( x \) (the amount we want to find)
We can set up the equation to represent her total earnings:
\[
\text{Total Earnings} = \text{Babysitting Earnings} + \text{Mowing Earnings}
\]
This can be written as:
\[
810 = 162 + x
\]
Now, we solve for \( x \):
1. Subtract the babysitting earnings from the total earnings:
\[
x = 810 - 162
\]
2. Calculating \( x \):
\[
x = 648
\]
Thus, the amount Gloria earned from mowing is **$648**.
### Bar Model Representation
To visually represent this using a bar model:
- You can draw a large rectangle representing the total earnings of $810.
- Inside this rectangle, you can draw a smaller rectangle representing her babysitting earnings of $162.
- The remaining part of the large rectangle (which would be labeled as $648) represents her earnings from mowing.
This bar model shows how the $810 is divided into $162 for babysitting and $648 for mowing.
1. **Total Earnings**: $810
2. **Babysitting Earnings**: $162
3. **Mowing Earnings**: \( x \) (the amount we want to find)
We can set up the equation to represent her total earnings:
\[
\text{Total Earnings} = \text{Babysitting Earnings} + \text{Mowing Earnings}
\]
This can be written as:
\[
810 = 162 + x
\]
Now, we solve for \( x \):
1. Subtract the babysitting earnings from the total earnings:
\[
x = 810 - 162
\]
2. Calculating \( x \):
\[
x = 648
\]
Thus, the amount Gloria earned from mowing is **$648**.
### Bar Model Representation
To visually represent this using a bar model:
- You can draw a large rectangle representing the total earnings of $810.
- Inside this rectangle, you can draw a smaller rectangle representing her babysitting earnings of $162.
- The remaining part of the large rectangle (which would be labeled as $648) represents her earnings from mowing.
This bar model shows how the $810 is divided into $162 for babysitting and $648 for mowing.