Question
A tennis team bought 8 yards of red fabric to make head bands. If each head band takes 2
3
of a yard of fabric, how many head bands can the team make?
You would use
to solve this problem.
The tennis team can make
head bands.
3
of a yard of fabric, how many head bands can the team make?
You would use
to solve this problem.
The tennis team can make
head bands.
Answers
GPT-4o mini
To solve the problem of how many head bands the tennis team can make with 8 yards of fabric, we will use division.
First, we need to determine how many head bands can be made from 8 yards of fabric when each head band requires \( \frac{2}{3} \) of a yard. To find out, we divide the total amount of fabric by the amount of fabric required for one head band:
\[
\text{Number of head bands} = \frac{8 \text{ yards}}{\frac{2}{3} \text{ yard/head band}}
\]
When dividing by a fraction, we multiply by its reciprocal:
\[
\text{Number of head bands} = 8 \times \frac{3}{2}
\]
Now, we can perform the multiplication:
\[
\text{Number of head bands} = 8 \times \frac{3}{2} = \frac{24}{2} = 12
\]
So, the tennis team can make 12 head bands.
In summary:
You would use division to solve this problem.
The tennis team can make 12 head bands.
First, we need to determine how many head bands can be made from 8 yards of fabric when each head band requires \( \frac{2}{3} \) of a yard. To find out, we divide the total amount of fabric by the amount of fabric required for one head band:
\[
\text{Number of head bands} = \frac{8 \text{ yards}}{\frac{2}{3} \text{ yard/head band}}
\]
When dividing by a fraction, we multiply by its reciprocal:
\[
\text{Number of head bands} = 8 \times \frac{3}{2}
\]
Now, we can perform the multiplication:
\[
\text{Number of head bands} = 8 \times \frac{3}{2} = \frac{24}{2} = 12
\]
So, the tennis team can make 12 head bands.
In summary:
You would use division to solve this problem.
The tennis team can make 12 head bands.