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

Hez have to reduce the thickness of the new board by 35% to match the other boards of the bookcaseSolution:The boards that are used to make the bookcase are [tex]\frac{13}{16}[/tex] inch thick  Hez found a board that is [tex]1\frac{1}{4}[/tex] inches thick  Let us consider that he has to reduce the n% of board Then, thickness – n% of thickness = required thickness [tex]1 \frac{1}{4}-n \% \text { of } 1 \frac{1}{4}=\frac{13}{16}[/tex]On solving we get,[tex]1 \frac{1}{4}(1-\mathrm{n} \%)=\frac{13}{16}[/tex][tex]\frac{1 \times 4+1}{4}(1-n \%)=\frac{13}{16}[/tex][tex]\frac{5}{4}(1-\mathrm{n} \%)=\frac{13}{16}[/tex]On simplification,[tex]\begin{array}{l}{1-n \%=\frac{13}{20}} \\\\ {n \%=\frac{20-13}{20}} \\\\ {\frac{n}{100}=\frac{7}{20}} \\\\ {\frac{n}{5}=\frac{7}{1}} \\\\ {n=7 \times 5} \\\\ {n=35}\end{array}[/tex]Hence, he has to reduce the board by 35%