Question
Hugo sells handmade key chains online. Yesterday, he made 6 keychains in 30 minutes. Hugo wants to make 9 keychains today.
If Hugo works at the same rate today, how long will it take him to make the keychains?
minutes
If Hugo works at the same rate today, how long will it take him to make the keychains?
minutes
Answers
GPT-4o mini
First, we need to find Hugo's rate of making keychains. He made 6 keychains in 30 minutes. To find the rate (keychains per minute), we divide the number of keychains by the time in minutes:
\[
\text{Rate} = \frac{6 \text{ keychains}}{30 \text{ minutes}} = \frac{1 \text{ keychain}}{5 \text{ minutes}}
\]
This means Hugo makes 1 keychain every 5 minutes. Now, to find out how long it will take him to make 9 keychains, we can multiply the time it takes to make 1 keychain by 9:
\[
\text{Time to make 9 keychains} = 9 \text{ keychains} \times 5 \text{ minutes/keychain} = 45 \text{ minutes}
\]
Therefore, if Hugo works at the same rate today, it will take him **45 minutes** to make 9 keychains.
\[
\text{Rate} = \frac{6 \text{ keychains}}{30 \text{ minutes}} = \frac{1 \text{ keychain}}{5 \text{ minutes}}
\]
This means Hugo makes 1 keychain every 5 minutes. Now, to find out how long it will take him to make 9 keychains, we can multiply the time it takes to make 1 keychain by 9:
\[
\text{Time to make 9 keychains} = 9 \text{ keychains} \times 5 \text{ minutes/keychain} = 45 \text{ minutes}
\]
Therefore, if Hugo works at the same rate today, it will take him **45 minutes** to make 9 keychains.