I posted this problem last night and someone answered. I followed all the steps that this person told me to do and I don't get the right answer. The right answer is suppose to be $23.54. What am I doing wrong?
For groups of four or more diners, many restaurants add a 15% gratuity and a tax of 8% to the bill. If the bill (including gratuity and tax) for four people came to $193, how much was the tip?
assume the 8% tax is added first, then the 15% tip.
So, first, add 8% to the bill amount to get a subtotal
subtotal = 193 + 0.08(193)
The same thing can be done more succinctly as follows:
subtotal = 1.08(193) $208.44
Then take 15% of that to determine the top:
tip = 0.15(subtotal)
To chain it all together:
tip = 0.15(1.08(193)) When you do this it comes to 31.26 that's not the right answer.
let the bill before taxes and tips be $x
then (1.15)(1.08)x = 193
x = 193/((1.15)(1.08))
= 155.39
After tax, bill was 155.39(1.08) = 167.83
now 15% of that is 25.17
so the tip was 25.17
check: [155.39 + .08(155.39)])1.15) = 193
1. The School Action Society asked its members how many hours they had worked during the previous week in part-time jobs. The following data lists the number of hours spent working during the previous week.
6 6 6 4 6 6 9 8 6 3 7 6
6 7 6 6 7 6 6 8 6 7 8 4
a. From these data construct a frequency table with the included columns.
(References: example 1 and 2 page 41, end of section exercises 27, 28 page 51). Round the relative frequencies to three decimal places. (5 points)
Hours Tally Frequency
f Midpoint Relative Frequency
3 - 4 2.5
5 - 6
7 - 8
9 - 10
To solve this problem, let's work through the steps again and identify any errors.
The initial equation given is:
For groups of four or more diners, the bill is 15% gratuity + 8% tax + original bill.
Since the original bill is not given, let's represent it as 'x'.
So, the equation becomes:
x + 0.15x + 0.08x = 193
To simplify the equation, let's combine like terms:
1.23x = 193
Now, let's solve for 'x' by dividing both sides of the equation by 1.23:
x = 193 / 1.23
x ≈ 157.32
Therefore, the original bill before tax and gratuity is approximately $157.32.
Now let's find the tip:
tip = 0.15 * (x + 0.15x + 0.08x)
tip = 0.15 * (1.23x)
tip = 0.15 * (1.23 * 157.32)
tip ≈ $28.74
Based on these calculations, the tip should be approximately $28.74, not $23.54 as mentioned before.
If you were expecting a tip of $23.54, it's possible that there was an error made in the previous calculation. Please double-check the steps and calculations to ensure accuracy.