Question

A quilt shop has a rectangular piece of fabric with an area of 3 1/3 square yards.The width of the fabric is 5/4 yards.The shop owner can cut the fabric into strips that are 1/3 yard long and 5/4 yards wide a d sell them for $3 each or cut the fabric into strips that are 1/4 yard long and 5/4 yards wide and sell them for $2.30 each. Recommend the length of the strip of the fabric that the shop owner should sel to earn the greater amount of money from sale of the fabric?

Answer 1

The owner must sell the 1/4 yards long strip to make more money

Explanation:

Given,

The area of the rectangle Length(L) × Breadth(B)=3-1/3 yards2

width=5/4 yards

To find the length(L)=Area/width

L=3-1/3 ÷ 5/4=8/3 yards

Length=8/3 yards

After cutting into strips of 1/3 yards long and 5/4 yards wide.

The number of pieces acquired is Total length/strip length=8/3 ÷ 1/3=8 strips of 1/3 yards length

The width is not considered as the value does not change

Therefore the total amount if each strip is sold for $ 3 is 8×3=$24

However if the fabric is cut into strips of ¼ yards long 5/4 yards wide

Then number of pieces acquired is 8/3 ÷ ¼ =32/3 strips of ¼ yards length

Therefore the total amount if each strip is sold for $ 2.30 or $ 23/10 is 32/3 × 23/10 =$24.5333

Therefore to earn more he should sell the strips of ¼ yards length