Percent counts the number of a quantity compared to another quantity's 100 amount. The amount each person would pay is given by: Option D: $9. 75
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For the given case,
Bill for lunch = $32.50
Tip = 20% of bill = [tex]\dfrac{32.50}{100} \times 20 = \dfrac{32.50}{5} = 6.50[/tex] (in dollars)
Total amount = Bill + Tip = $39
This amount has to be divided in 4 equal part.
Thus, each part of those 4 parts would be [tex]\dfrac{39}{4} = 9.75[/tex] (in dollars).
Thus, the amount each person would pay is given by: Option D: $9. 75
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