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| Math Central | Quandaries & Queries |
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Question from Willa, a student: So, I have this question from my summer packet: "Gwen buys 3 identical pairs of shoes at store a. She pays $110.25 after the discount what is the regular price of each pair? ( 40% off)" |
Hi Willa,
Suppose that the before sale price of each pair of shoes is $P$ dollars. What she actually paid for each pair of shoes was $\large \frac{110.25}{3}$ dollars. There was a discount of $40\%$ of the price $P$ dollars and hence she paid $60\%$ of $P$ dollars for each pair. Hence
\[0.60 \times P = \frac{110.25}{3}\]
Solve for $P.$
Penny
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