Question 1522
Janie sold her diamond necklace for $560, which was 12% more than what she
originally paid for it. How much was the original price?<font face = "courier new" size = 2 color = "blue"><b>
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` ` ` ` ` `Let x = the original price.
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>>...$560...was 12% more than what she originally paid for it...<<
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Tranlation: $560 = original price + 12% of original price, or
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` ` ` ` ` ` `560 = x + 0.12x
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Write x as 1.00x to make it clearer:
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` ` ` ` ` ` `560 = 1.00x + 0.12x
` ` ` ` ` ` `560 = 1.12x
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Divide both sides by 1.12

` ` ` ` ` `{{{560/1.12}}} = x
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` ` ` ` ` ` ` `x = 500
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So the original price was $500.
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<font color = "red" size = 4>Edwin