Question
Leslie knit a total of 432 centimeters of scarf over 9 nights. After 15 nights of knitting, how many centimeters of scarf will Leslie have knit in total? Solve using unit rates.
_ centimeters
_ centimeters
Answers
GPT-4o mini
First, we will calculate Leslie's knitting rate per night. Leslie knit a total of 432 centimeters over 9 nights. To find the unit rate (centimeters per night), we divide the total centimeters by the total nights:
\[
\text{Rate} = \frac{432 \text{ centimeters}}{9 \text{ nights}} = 48 \text{ centimeters per night}
\]
Now, we need to determine how many centimeters Leslie will have knit after 15 nights. We can do this by multiplying the rate by the number of nights:
\[
\text{Total centimeters after 15 nights} = 48 \text{ centimeters per night} \times 15 \text{ nights}
\]
Calculating this gives:
\[
\text{Total centimeters after 15 nights} = 48 \times 15 = 720 \text{ centimeters}
\]
Therefore, after 15 nights of knitting, Leslie will have knit a total of:
\[
\boxed{720} \text{ centimeters}
\]
\[
\text{Rate} = \frac{432 \text{ centimeters}}{9 \text{ nights}} = 48 \text{ centimeters per night}
\]
Now, we need to determine how many centimeters Leslie will have knit after 15 nights. We can do this by multiplying the rate by the number of nights:
\[
\text{Total centimeters after 15 nights} = 48 \text{ centimeters per night} \times 15 \text{ nights}
\]
Calculating this gives:
\[
\text{Total centimeters after 15 nights} = 48 \times 15 = 720 \text{ centimeters}
\]
Therefore, after 15 nights of knitting, Leslie will have knit a total of:
\[
\boxed{720} \text{ centimeters}
\]