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Anna007 [38]
3 years ago
11

While reading a book, Shara

Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer:

288 pages

Step-by-step explanation:

Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)

\frac{216}{75} = \frac{x}{100}\\\\

Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)

\frac{216}{75}\\\\216 \div 75\\\\= 2.88

Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)

100\\\\2.88 \times 100\\\\= 288

Therefore, the book is 288 pages long.

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scZoUnD [109]

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\bold{METHOD\ 1}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\to d=\dfrac{4}{3}e\\\\\text{Substitute it and}\ f=2e\ \text{to the ratio}\ d:e:f:\\\\\dfrac{4}{3}e:e:2e\qquad\text{cancel}\ e\\\\\dfrac{4}{3}:1:2\qquad\text{multiply by 3}\\\\\huge\boxed{4:3:6}

\bold{METHOD\ 2}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\qquad\text{divide both sides by}\ e\neq0\\\\\dfrac{d}{e}=\dfrac{4}{3}\to d:e=4:3\\\\2e=f\qquad\text{divide both sides by 2}\\\\e=\dfrac{f}{2}\to e=\dfrac{1}{2}f\qquad\text{divide both sides by}\ f\neq0\\\\\dfrac{e}{f}=\dfrac{1}{2}\to e:f=1:2\\\\\text{We have}\ d:e=4:3\ \text{and}\ e:f=1:2.

\text{We know}\ \dfrac{1}{2}=\dfrac{1\cdot3}{2\cdot3}=\dfrac{3}{6}\\\\\text{threfore}\ e:f=3:6\\\\\text{Now we have}\\\\\left\begin{array}{ccc}d:e=4:3\\e:f=3:6\end{array}\right\}\large{\boxed{d:e:f=4:3:6}}

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