Question
A package of pencils has 10 pencils and costs $2. A package of markers has 8 markers and costs $4.
Kelsey bought 40 pencils and 24 markers.
Which statements are true? Select all that apply.
(1 point)
Responses
Kelsey bought 4 packages of pencils and 3 packages of markers.
Kelsey bought 4 packages of pencils and 3 packages of markers.
Kelsey spent $4 on pencils.
Kelsey spent $4 on pencils.
Kelsey spent more on the pencils than she spent on the markers.
Kelsey spent more on the pencils than she spent on the markers.
Kelsey spent $20 in all.
Kelsey spent $20 in all.
Kelsey spent $24 in all.
Kelsey bought 40 pencils and 24 markers.
Which statements are true? Select all that apply.
(1 point)
Responses
Kelsey bought 4 packages of pencils and 3 packages of markers.
Kelsey bought 4 packages of pencils and 3 packages of markers.
Kelsey spent $4 on pencils.
Kelsey spent $4 on pencils.
Kelsey spent more on the pencils than she spent on the markers.
Kelsey spent more on the pencils than she spent on the markers.
Kelsey spent $20 in all.
Kelsey spent $20 in all.
Kelsey spent $24 in all.
Answers
GPT-4o mini
Let's analyze the information given and check each statement:
1. **Kelsey bought 40 pencils and 24 markers.**
- Pencils: Each package has 10 pencils. To find out how many packages Kelsey bought, we divide 40 by 10.
\[
\text{Packages of pencils} = \frac{40}{10} = 4 \text{ packages}
\]
- Markers: Each package has 8 markers. To find out how many packages of markers Kelsey bought, we divide 24 by 8.
\[
\text{Packages of markers} = \frac{24}{8} = 3 \text{ packages}
\]
- **True statement:** Kelsey bought 4 packages of pencils and 3 packages of markers.
2. **Kelsey spent $4 on pencils.**
- Each package of pencils costs $2. Since she bought 4 packages:
\[
\text{Total cost for pencils} = 4 \text{ packages} \times \$2/\text{package} = \$8
\]
- **False statement:** Kelsey spent $4 on pencils.
3. **Kelsey spent more on the pencils than she spent on the markers.**
- Cost for markers: Each package of markers costs $4. Since she bought 3 packages:
\[
\text{Total cost for markers} = 3 \text{ packages} \times \$4/\text{package} = \$12
\]
- She spent $8 on pencils and $12 on markers.
- **False statement:** Kelsey spent more on the pencils than she spent on the markers.
4. **Kelsey spent $20 in all.**
- Total cost for pencils ($8) plus total cost for markers ($12):
\[
\text{Total cost} = \$8 + \$12 = \$20
\]
- **True statement:** Kelsey spent $20 in all.
5. **Kelsey spent $24 in all.**
- As calculated above, Kelsey spent $20 in total.
- **False statement:** Kelsey spent $24 in all.
Based on this analysis, the **true statements** are:
- Kelsey bought 4 packages of pencils and 3 packages of markers.
- Kelsey spent $20 in all.
1. **Kelsey bought 40 pencils and 24 markers.**
- Pencils: Each package has 10 pencils. To find out how many packages Kelsey bought, we divide 40 by 10.
\[
\text{Packages of pencils} = \frac{40}{10} = 4 \text{ packages}
\]
- Markers: Each package has 8 markers. To find out how many packages of markers Kelsey bought, we divide 24 by 8.
\[
\text{Packages of markers} = \frac{24}{8} = 3 \text{ packages}
\]
- **True statement:** Kelsey bought 4 packages of pencils and 3 packages of markers.
2. **Kelsey spent $4 on pencils.**
- Each package of pencils costs $2. Since she bought 4 packages:
\[
\text{Total cost for pencils} = 4 \text{ packages} \times \$2/\text{package} = \$8
\]
- **False statement:** Kelsey spent $4 on pencils.
3. **Kelsey spent more on the pencils than she spent on the markers.**
- Cost for markers: Each package of markers costs $4. Since she bought 3 packages:
\[
\text{Total cost for markers} = 3 \text{ packages} \times \$4/\text{package} = \$12
\]
- She spent $8 on pencils and $12 on markers.
- **False statement:** Kelsey spent more on the pencils than she spent on the markers.
4. **Kelsey spent $20 in all.**
- Total cost for pencils ($8) plus total cost for markers ($12):
\[
\text{Total cost} = \$8 + \$12 = \$20
\]
- **True statement:** Kelsey spent $20 in all.
5. **Kelsey spent $24 in all.**
- As calculated above, Kelsey spent $20 in total.
- **False statement:** Kelsey spent $24 in all.
Based on this analysis, the **true statements** are:
- Kelsey bought 4 packages of pencils and 3 packages of markers.
- Kelsey spent $20 in all.