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likoan [24]
3 years ago
11

A restaurant charges a single price for its buffet. The total bill for a table of six people having the buffet was $294. Each of

the 8 people at a second table also had the buffet. What was the total bill at the second table?
Mathematics
1 answer:
Rzqust [24]3 years ago
4 0
If the bill for 6 people was $294, the cost for each person would be $294 / 6 = $49.
So the cost for the 8 people at the other table would be $49 x 8 = $392
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<h3>METHOD 1:</h3>

\begin{array}{ccc}32&-&90\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\90x=3200\qquad\text{divide both sides by 90}\\\\x=\dfrac{3200}{90}\\\\x=\dfrac{320}{9}\\\\x=35\dfrac{5}{9}

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\begin{array}{cccc}32&-&90\%&\text{divide both sides by 9}\\\\\dfrac{32}{9}&-&10\%\end{array}\\\\\\90\%+10\%=100\%\to32+\dfrac{32}{9}=32+3\dfrac{5}{9}=35\dfrac{5}{9}

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