I was wondering if someone could help me with Question 123 in the OG - can you show me how you solved it?
The explaination in the book shows:
If $207 includes a 15% gratuity, then, if x is the pre - tip price of the meal, 207 = 1.15x. Expressed differently: x = (207/(1.15)). To find the average price per person, divide that by 15, leaving you with ((x)/15) = (207/(15(1.15))). From here, it's best to estimate. 207 is a little less than 210, which is 15(14), so we can simplify to a little less than (14/(1.15)). 1.15, obviously, goes into 11.50 ten times, so it goes into 12.65 eleven times and 13.80 twelve times. Thus, (14/(1.15)) is just a little more than $12, and since we rounded up before, it's safe to assume that $12, choice (B), is the correct answer.
This all makes sense except for one part - the 1.15 number. I was using .15 becaues 15 percent is 15/100 = .15. Where did that extra 1 come from? Can someone explain? I'm sure this is something stupid and simple I am missing.
The explaination in the book shows:
If $207 includes a 15% gratuity, then, if x is the pre - tip price of the meal, 207 = 1.15x. Expressed differently: x = (207/(1.15)). To find the average price per person, divide that by 15, leaving you with ((x)/15) = (207/(15(1.15))). From here, it's best to estimate. 207 is a little less than 210, which is 15(14), so we can simplify to a little less than (14/(1.15)). 1.15, obviously, goes into 11.50 ten times, so it goes into 12.65 eleven times and 13.80 twelve times. Thus, (14/(1.15)) is just a little more than $12, and since we rounded up before, it's safe to assume that $12, choice (B), is the correct answer.
This all makes sense except for one part - the 1.15 number. I was using .15 becaues 15 percent is 15/100 = .15. Where did that extra 1 come from? Can someone explain? I'm sure this is something stupid and simple I am missing.
