To find out how many yards of fabric Joanne will use for each costume, we need to divide the total amount of fabric by the number of costumes she is making.
Joanne has 1314 yards of fabric and is making 4.5 costumes.
Calculating the fabric used per costume:
\[ \text{Fabric per costume} = \frac{1314 \text{ yards}}{4.5 \text{ costumes}} = \frac{1314}{4.5} \]
To simplify this division, we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[ \frac{1314 \times 10}{4.5 \times 10} = \frac{13140}{45} \]
Next, we divide 13140 by 45:
\[ 13140 \div 45 = 292 \]
So, each costume will use 292 yards of fabric.
The correct answer is 292 yards per costume. However, this answer does not appear to be listed among the responses you provided, which may suggest an error in the responses or a misunderstanding in the options.
If we then calculate how many whole "costume units" this fabric provides, we might also consider converting this into a fraction:
292 yards can also be represented as \( 21718 \) or \( 2 , \text{and} , 17/18 \) if viewing from a refinement perspective. However, none of these also resonates well with the basic division result.
Could you clarify or double-check the responses?
1 answer