Mathematics: 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

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Hez is making a bookcase the boards that are used

Ответ:

Natavia3402

10.01.2022

Mathematics

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 $\frac{13}{16}$ inch thick

Hez found a board that is $1\frac{1}{4}$ inches thick

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

Then, thickness – n% of thickness = required thickness

$1 \frac{1}{4}-n \% \text { of } 1 \frac{1}{4}=\frac{13}{16}$

On solving we get,

$1 \frac{1}{4}(1-\mathrm{n} \%)=\frac{13}{16}$

$\frac{1 \times 4+1}{4}(1-n \%)=\frac{13}{16}$

$\frac{5}{4}(1-\mathrm{n} \%)=\frac{13}{16}$

On simplification,

$\begin{array}{l}{1-n \%=\frac{13}{20}} \\\\ {n \%=\frac{20-13}{20}} \\\\ {\frac{n}{100}=\frac{7}{20}} \\\\ {\frac{n}{5}=\frac{7}{1}} \\\\ {n=7 \times 5} \\\\ {n=35}\end{array}$

Hence, he has to reduce the board by 35%

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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

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