Mom pays $50.15 at a restaurant that included the meal and an 18% tip. What was the price of the meal alone? I know the answer is $42.50 but I don't know how to do the calculation.

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Mom pays $50.15 at a restaurant that included the meal and an 18% tip. What was the price of the meal alone? I know the answer is $42.50 but I don't know how to do the calculation.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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41.12 + 18% is $48.52. The Final amount paid for the bill is $50.15. Right?
42.50 = 18% (7.65) = 50.15. I just don't know how to get the 42.50 number to start with.
\[P(1.18)=50.15\] \[P=50.15\div 1.18\]

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Bingo! Thanks Satellite73!
Cross multiply and keep everything in proportion. For example: x/50.18 = 18/100 (solve for x). x comes out to be roughly 9.03 which is the COST of the tip. Simply subtract that from your grand total. 50.15 - 9.03 = 41.12
you CANNOT do it by finding 18% of the total and subtracting, because 18% of the total is bigger than 18% of the original bill. it is a division problem, not a subtraction
i repeat, you CANNOT do it by finding 18% of 50.15
What was the method you use satellite. I understand it completely, but why 1.18?
to increase a number by 18% you multiply by 1.18 so in this case you have to divide by 1.18 because you don't know the original number, but rather you know the answer
luis rivera wrote it too as long as you know that \[x+.18x=1.18x\]
Thanks Satellite73 and Luis Rivera! For me, dividing by the 1.18 is the easiest method. Thanks to both for taking the time.

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