Sure, let's break down the problem step-by-step to find the total amount of material Jane needs for her suit.
1. Convert the jacket material to a decimal:
The jacket requires [tex]\( \frac{25}{8} \)[/tex] yards.
[tex]\[
\frac{25}{8} = 3.125 \text{ yards}
\][/tex]
2. Convert the skirt material to a decimal:
The skirt requires [tex]\(1 \frac{3}{4}\)[/tex] yards.
[tex]\[
1 \frac{3}{4} = 1 + \frac{3}{4} = 1.75 \text{ yards}
\][/tex]
3. Add the materials together:
[tex]\[
3.125 \text{ yards} + 1.75 \text{ yards} = 4.875 \text{ yards}
\][/tex]
Now, let's find the correct answer choice:
- A. 4 yards
This option is not correct as we need 4.875 yards.
- B. [tex]\( \frac{32}{3} \)[/tex] yards
Converting [tex]\( \frac{32}{3} \)[/tex] to a decimal:
[tex]\[
\frac{32}{3} \approx 10.67 \text{ yards}
\][/tex]
This is not correct.
- C. [tex]\( \frac{43}{8} \)[/tex] yards
Converting [tex]\( \frac{43}{8} \)[/tex] to a decimal:
[tex]\[
\frac{43}{8} = 5.375 \text{ yards}
\][/tex]
This is not correct.
- D. [tex]\( \frac{31}{2} \)[/tex] yards
Converting [tex]\( \frac{31}{2} \)[/tex] to a decimal:
[tex]\[
\frac{31}{2} = 15.5 \text{ yards}
\][/tex]
This is not correct.
None of the options directly match 4.875 yards, so based on the solved totals:
[tex]\[
\boxed{4.875 \text{ yards}}
\][/tex]
So, it appears the options provided do not match the calculated total material needed.\
