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trasher [3.6K]
3 years ago
8

Hello please help i’ll give brainliest

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0
Here its complete answer

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Ephraim took a friend for a birthday dinner. The total bill for dinner was $30.29 (including tax and a tip). If Ephraim paid a 2
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Answer:

x= 30.29 (1-0.223) = 23.54

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

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Step-by-step explanation:

For this case we assume the following notation:

T= 30.29 represent the total paid for the dinner

x represent the amount before adding the tip

f =0.223 represent the fraction of the total amount destined to the tip

Based on this we can create the following relationship between T and x:

T = f*T + (1-f)T = f*T + x

And we can solve for x from the previous equation like this:

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Taking T common factor we got:

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And if we replace we got:

x= 30.29 (1-0.223) = 23.54

And the amount destined to the tip would be fT = 0.223*30.29=6.75

And if we add the two values we see that:

23.54+6.75 = 30.29 representing the total cost.

So then the correct answer for the question:

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

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