Question

21. Brian wants to purchase a piece of fabric

that is between 49 and 53 inches long.
He can choose between three pieces of
fabric. Choice A is 4 3/4 feet long. Choice
B is 4 1/2 feet long. Choice C is 4 1/3 feet
long. Which piece of fabric should Brian
purchase?
(Show WORK!!)

Answer 1

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
  `4(3)/(4)` feet long

Let us convert feet to inches

`4(3)/(4) feet = (4 * 4 + 3)/(4) = (19)/(4) feet`

Now convert to inches

We know that,

1 feet = 12 inches

`(19)/(4) feet = (19)/(4) * 12 = 57 inches`

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
  `4(1)/(2)` feet long

`4(1)/(2) feet = (2 * 4 + 1)/(2) = (9)/(2) feet`

Now convert to inches

`(9)/(2) feet = (9)/(2) * 12 inches = 54 inches`

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
  `4(1)/(3)` feet long

`4(1)/(3) feet = (3 * 4 + 1)/(3) = (13)/(3) feet`

Now convert to inches

`(13)/(3) feet = (13)/(3) * 12 inches = 52 inches`

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric