Explain why receiving a 15% discount is the same as finding 85% percent of the original cost of an item. Then, explain how the m athematical properties and equivalent expressions helped them understand and solve the problem. Please answer!!
2 answers:
Answer: 85% = 0.85
While 15% = 0.15
Step-by-step explanation:
Percentage is a fraction whose denominator is 100. So if we say 15%, we mean 15/100 = 0.15.
If want to find 15% of a 100, it means 15% of 100 = 15/100 × 100 = 15.
To find 85 % of 100 means 85/100 × 100= 85
hence subtraction of 15% from 100% is 85%
Therefore 15% = 15/100 = 0.15
While 85% is 85/100 = 0.85
Answer:
15% discount means you're paying 85% of the marked price because total is 100% and 100-15 = 85%
Let X be the naked price
Paid = marked price - discount
Paid = X - (15/100 × X)
Using distribution property,
Paid = X(1 - 15/100)
Paid = X[(100-15)/100]
Paid = X(85/100)
Which is 85/100 × X
Hence 85% of X
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