SOLUTION: Lea bought a pair of shoes at two successive discounts of 20% and 10%. What single discount are these two discounts equivalent? The answer is 28% but i don't know the solution

Question 498216: Lea bought a pair of shoes at two successive discounts of 20% and 10%. What single discount are these two discounts equivalent?
The answer is 28% but i don't know the solution
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Lea bought a pair of shoes at two successive discounts of 20% and 10%. What single discount are these two discounts equivalent?
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If C is the original cost, then the price after the first discount = 0.8C
The new price after applying the second discount = 0.9*0.8c = 0.72c
So the total discount = 1 - 0.72 = 0.28, or 28%
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