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 Question from Cheryl: can you please tell me the equation to calculate the quebec taxes (5% & 9.975%) individually from the total? thank you

Hi Cheryl,

Suppose the total cost is $T$ doll are and the cost before the taxes are added is $S$ dollars. When you purchase an prices at $S$ dollars then you pay 5% of $S$ dollars as one tax and 9.975% of $S$ dollars as the second tax. Thus you have to pay

$T = S + 0.05 \times S + 0.09975 \times S = (1 + 0.05 + 0.09975) \times S = 1.14975 \times S.$

Hence $T = 1.14975 \times S$ and dividing both sides by $1.14975$ you get

$S = \frac{T}{1.14975.}$

Now that you know the cost before taxes you can calculate the two taxes as

$0.05 \times S \mbox{ and } 0.09975 \times S$

Penny

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