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3 votes
The price includes 12% tip and my bill is $414 what was the price beofre tip

2 Answers

1 vote

Answer:

$369.64

Step by step explanation:

Equations is like a god-saver,incase the problem seems to be quite hard and cannot be done by ordinary formulas.

After examining the question,we get the following equation:

Here, Total Bill = Original Price money + the tip

Let x be the actual amount to be paid.

  • 414 = x + 12x/100

Take x common:

  • 414 = x(1 +12/100 = x(112/100)
  • 414 = 112x/100

Isolate x:

  • 414*100/112 = x ....(Cross multiply to isolate x)
  • x = 41400/112 = 5175/14 = 369.642

Hence the actual price money is 369.642 dollars.

User Ranjith Sekar
by
8.0k points
3 votes

Answer:

$ 369.64

Explanation:

If the total bill, including a 12% tip, amounts to $414, you can calculate the original price before the tip by considering that the bill with the tip constitutes 112% of the original price (100% original price + 12% tip).

Let x represent the original price before the tip.

112% of x (original price + 12% tip) is equal to $414:

1.12x = 414

To find the original price before the tip, divide both sides by 1.12:


x = (414)/(1.12) \approx 369.64

So, the original price before the 12% tip was $369.64.

User Dinesh Raja
by
7.5k points