SOLUTION: A jacket is discounted 45% on Monday. It is then discounted on Friday another 20%. If the sale price on Friday (after the discount) is $31.68, what is the original cost of the jack

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Question 363749: A jacket is discounted 45% on Monday. It is then discounted on Friday another 20%. If the sale price on Friday (after the discount) is $31.68, what is the original cost of the jacket?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A jacket is discounted 45% on Monday. It is then discounted on Friday another 20%. If the sale price on Friday (after the discount) is $31.68, what is the original cost of the jacket?
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Let original price be "x".
After 1st discount: 0.55x
After 2nd discount: 0.80*0.55x
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Equation:
0.80*0.55x = 31.68
0.44x = 31.68
x = 31.68/0.44 = $72.00
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Cheers,
Stan H.
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