Question

Hez is making a bookcase the boards that are used to make the bookcase are 13/16 inch thick Hez found a board that is 1 1/4 inches thick by how much does Hez have to reduce the thickness of the new board to match the other boards of the bookcase

Answer 1

Hez have to reduce the thickness of the new board by 35% to match the other boards of the bookcase

Solution:

The boards that are used to make the bookcase are
`(13)/(16)` inch thick

Hez found a board that is
`1(1)/(4)` inches thick

Let us consider that he has to reduce the n% of board

Then, thickness – n% of thickness = required thickness

`1 (1)/(4)-n \% \text { of } 1 (1)/(4)=(13)/(16)`

On solving we get,

`1 (1)/(4)(1-\mathrm{n} \%)=(13)/(16)`

`(1 * 4+1)/(4)(1-n \%)=(13)/(16)`

`(5)/(4)(1-\mathrm{n} \%)=(13)/(16)`

On simplification,

`\begin{array}{l}{1-n \%=(13)/(20)} \\\\ {n \%=(20-13)/(20)} \\\\ {(n)/(100)=(7)/(20)} \\\\ {(n)/(5)=(7)/(1)} \\\\ {n=7 * 5} \\\\ {n=35}\end{array}`

Hence, he has to reduce the board by 35%