Question #3e18e

1 Answer
Stefan V.
Jan 9, 2017

$143.75

Explanation:

The problem tells you that Mrs. Margul wants to leave a 15% tip to her hairdresser, so the first thing to do here is to use this information to calculate the value of the tip.

Now, a color(blue)(15)color(darkgreen)(%) tip basically means that Mrs. Margul will pay color(blue)($15) for every color(darkgreen)($100) in her bill. In essence, you can treat a percentage as a conversion factor to take you from the value of the bill to the value of the tip or vice versa.

In this case, the bill is $125, so Mrs. Margul will have to add a tip of

$125 color(red)(cancel(color(black)("bill"))) * color(blue)("$15 tip")/(color(darkgreen)("$100" color(red)(cancel(color(black)("bill"))))) = "$18.75 tip"

This means that the total bill, i.e. bill + tip, will amount to

"total bill" = $125 + $18.75 = $143.75

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