SOLUTION: Janie sold her diamond necklace for $560, which was 12% more than what she originally paid for it. How much was the original price?
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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?
Found 2 solutions by AnlytcPhil, amalm06:
Answer by AnlytcPhil(1806) (Show Source): You can put this solution on YOUR website!
Janie sold her diamond necklace for $560, which was 12% more than what she
originally paid for it. How much was the original price?
`
` ` ` ` ` `Let x = the original price.
`
>>...$560...was 12% more than what she originally paid for it...<<
`
Tranlation: $560 = original price + 12% of original price, or
`
` ` ` ` ` ` `560 = x + 0.12x
`
Write x as 1.00x to make it clearer:
`
` ` ` ` ` ` `560 = 1.00x + 0.12x
` ` ` ` ` ` `560 = 1.12x
`
Divide both sides by 1.12
` ` ` ` ` ` = x
`
` ` ` ` ` ` ` `x = 500
`
So the original price was $500.
`
Edwin
Answer by amalm06(224) (Show Source): You can put this solution on YOUR website!
Let x denote the original price.
A 12% increase is equivalent to 1.12.
Then 1.12x=560
x=$500 (Answer)
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