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

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anonymous
  • anonymous
Bingo! Thanks Satellite73!
anonymous
  • anonymous
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
anonymous
  • anonymous
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
anonymous
  • anonymous
i repeat, you CANNOT do it by finding 18% of 50.15
anonymous
  • anonymous
What was the method you use satellite. I understand it completely, but why 1.18?
anonymous
  • anonymous
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
anonymous
  • anonymous
luis rivera wrote it too as long as you know that \[x+.18x=1.18x\]
anonymous
  • anonymous
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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