Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

# The price of a skateboard is \$22.60 after using a 20% off coupon. What was the original price? (equation)?

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• Anonymous
9 years ago

P = original price........c = coupon percent off...............s = sale price

s = P ( 1 - c/100)

for your example.............22.60 = P (1 - 20/100) = 4/5 x P............P = \$ 28.25

• Multiply the sale price of 22.60 x 0.2 to find the amount that was taken off of the original price.

22.60 x 0.2 = 4.52. So just add 4.52 to 22.60 to find the original price.

22.60 + 4.52 = 27.12. Therefore the original price of the skateboard was \$27.12

• 22.60 : X = 20 : 100

It's easy to work it out as 20 is a part of 100, so all you need is one number, which is X.

• 22.60 = .8 (80%), so x + 1 (100%)

.8x = 22.60

x = 22.60/.8

x = 28.25

Proof: 28.25 x .2 = 5.65

28.25 - 5.65 = 22.60

• 27.12 (:

This is because 22.60*0.2 is 4.52.

Add that to the discounted price,and you get the original.

Source(s): my brainn .
• \$ 22.60 * 100% + 22.60+ 20%= 22.60+4.52= \$27.12

• 0.80*x = 22.60

x = 22.60/0.80

x = 28.25 (check this - I did it in my head)