Question
Landon buys cookies and lemons at the store.
He pays a total of $29.12.
He pays $2.66 for the cookies.
He buys 7 bags of lemons that each cost the same amount.
Which tape diagram could be used to represent the context if xx represents how much each bag of lemons costs?
He pays a total of $29.12.
He pays $2.66 for the cookies.
He buys 7 bags of lemons that each cost the same amount.
Which tape diagram could be used to represent the context if xx represents how much each bag of lemons costs?
Answers
GPT-4o mini
To create a tape diagram that represents Landon's purchase of cookies and lemons, we can break down the information given:
1. **Total Cost**: Landon pays a total of $29.12.
2. **Cost of Cookies**: He pays $2.66 for cookies.
3. **Cost of Lemons**: He buys 7 bags of lemons, and we will denote the cost of each bag as \( x \).
Now, let’s represent this situation in a tape diagram:
1. **Total Amount**: Draw a large rectangle to represent the total cost of $29.12.
2. **Cost of Cookies**: Inside this rectangle, highlight a smaller section that represents the $2.66 spent on cookies.
3. **Cost of Lemons**: The remaining part of the rectangle represents the total cost of the lemons. Since he buys 7 bags of lemons at a cost of \( x \) per bag, the total cost for the lemons can be represented as \( 7x \).
The tape diagram would effectively look like this:
- A large rectangle labeled "$29.12" (total).
- A smaller rectangle inside it labeled "$2.66" (cost of cookies).
- The remaining area of the large rectangle can be labeled \( 7x \) (total cost of lemons).
The equation that represents this context would be:
\[ 2.66 + 7x = 29.12 \]
This tape diagram visually represents how the total cost is divided between the cookies and the lemons, with \( x \) being the variable for the cost of each bag of lemons.
1. **Total Cost**: Landon pays a total of $29.12.
2. **Cost of Cookies**: He pays $2.66 for cookies.
3. **Cost of Lemons**: He buys 7 bags of lemons, and we will denote the cost of each bag as \( x \).
Now, let’s represent this situation in a tape diagram:
1. **Total Amount**: Draw a large rectangle to represent the total cost of $29.12.
2. **Cost of Cookies**: Inside this rectangle, highlight a smaller section that represents the $2.66 spent on cookies.
3. **Cost of Lemons**: The remaining part of the rectangle represents the total cost of the lemons. Since he buys 7 bags of lemons at a cost of \( x \) per bag, the total cost for the lemons can be represented as \( 7x \).
The tape diagram would effectively look like this:
- A large rectangle labeled "$29.12" (total).
- A smaller rectangle inside it labeled "$2.66" (cost of cookies).
- The remaining area of the large rectangle can be labeled \( 7x \) (total cost of lemons).
The equation that represents this context would be:
\[ 2.66 + 7x = 29.12 \]
This tape diagram visually represents how the total cost is divided between the cookies and the lemons, with \( x \) being the variable for the cost of each bag of lemons.