Question
Volunteers put together 40 school-supply kits in 8 minutes. At this rate, how many could they put together in 30 minutes? Solve this problem using a unit rate. Responses 6 school-supply kits 6 school-supply kits - no response given 150 school-supply kits 150 school-supply kits - no response given 10.67 school-supply kits 10.67 school-supply kits - no response given 9,600 school-supply kits
Answers
GPT-4o mini
To find out how many school-supply kits the volunteers can put together in 30 minutes using a unit rate, we first need to determine the rate at which they assemble the kits.
Given:
- They assemble 40 school-supply kits in 8 minutes.
First, we can find the rate of kits per minute:
\[
\text{Rate} = \frac{\text{Number of kits}}{\text{Time (in minutes)}} = \frac{40 \text{ kits}}{8 \text{ minutes}} = 5 \text{ kits per minute}.
\]
Next, we need to find out how many kits they can assemble in 30 minutes by using this rate:
\[
\text{Kits in 30 minutes} = \text{Rate} \times \text{Time} = 5 \text{ kits/minute} \times 30 \text{ minutes} = 150 \text{ kits}.
\]
Therefore, at this rate, the volunteers can put together **150 school-supply kits** in 30 minutes.
Given:
- They assemble 40 school-supply kits in 8 minutes.
First, we can find the rate of kits per minute:
\[
\text{Rate} = \frac{\text{Number of kits}}{\text{Time (in minutes)}} = \frac{40 \text{ kits}}{8 \text{ minutes}} = 5 \text{ kits per minute}.
\]
Next, we need to find out how many kits they can assemble in 30 minutes by using this rate:
\[
\text{Kits in 30 minutes} = \text{Rate} \times \text{Time} = 5 \text{ kits/minute} \times 30 \text{ minutes} = 150 \text{ kits}.
\]
Therefore, at this rate, the volunteers can put together **150 school-supply kits** in 30 minutes.