Answered

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A sale at a store is 15%. If the sale price after
the discount is $35.70. What was the original
price of the sweatshirt (S)?

Sagot :

Answer:

$42.00

Step-by-step explanation:

Let x  = the original cost of the sweatshirt

x - .15x = 35.70  We don't know the original cost so we will call it x.  I know that we are taking 15 off of this number to get the sale's price.  15% means per 100, so as a fraction this would be 15/100.  To make this a decimal, I would divide 15 by 100 to get .15

x - .15x = 35.70  Combine the like terms

.85x = 35.70  This is say that 85% if the original price is the sale price of 35.70

Divide both sides of the equation by .85 and we get x = 42.00

Check:

42 - .15(42) = 35.70

42 - 6.30 = 35.70

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