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Mandarinka [93]
3 years ago
5

If the difference between two numbers is 43 and the sum of the numbers is 13 what are the numbers?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0
The answer is 6 and 4
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Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.
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we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x

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