Brian should purchase Choice C of fabric
Solution:
Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long
So piece of fabric should be between: 49 and 53 inches
- Choice A is [tex]4\frac{3}{4}[/tex] feet long
Let us convert feet to inches
[tex]4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet[/tex]
Now convert to inches
We know that,
1 feet = 12 inches
[tex]\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches[/tex]
But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice B is [tex]4\frac{1}{2}[/tex] feet long
[tex]4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet[/tex]
Now convert to inches
[tex]\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches[/tex]
But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice C is [tex]4\frac{1}{3}[/tex] feet long
[tex]4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet[/tex]
Now convert to inches
[tex]\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches[/tex]
So this 52 inches lies between 49 and 53 inches
So Brian should purchase Choice C of fabric
