Select the best answer for the question.

Jane is making a suit which requires [tex]\frac{25}{8}[/tex] yards for the jacket and [tex]1 \frac{3}{4}[/tex] yards for the skirt. What's the total amount of material she needs?

A. 4 yards
B. [tex]\frac{32}{3}[/tex] yards
C. [tex]\frac{43}{8}[/tex] yards
D. [tex]\frac{31}{2}[/tex] yards



Answer :

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.\