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sweet [91]
3 years ago
6

Reuben bought 4 CDs that were each the same price. Including sales tax, he paid a total of $44.40. Each CD had a tax of $0.60. W

hat was the price of each CD before tax?
Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

$10.50

Step-by-step explanation:

4 cd x .60 per cd = $2.40 tax

44.40 - 2.40 tax = 42

$42 / 4 cds = 10.50 per cd

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Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they
siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

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\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x


so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended  up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}

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