Tracy goes on a 3 day and night school band trip. There is no cost for travel and each band member only pays half the cost of the hotel room. However, each person is responsible for the cost of their own meals. His portion of the hotel bill is $49 per night and Tracy leaves a 10% tip for the maid service. Before tax, Tracy spends $32 per day on eating out plus 15% of this amount in tips. If Tracy spends a total of $280.74 on the band trip, what percent tax was Tracy charged on his food?
a.
6%
b.
7%
c.
8%
d.
9%

The government levies a service tax on particular service transactions carried out by the service provider. Suppose x% service tax is levied on a good on $n then the total amount that is to be paid is $(n(1+x/100)).

How to solve the problem?

Let the percent service tax that is charged on food be x%.

The situation is The total expenditure is $280.74 which is $49 per day on the hotel bill for 3 days on which a 10% tip was given for the maid services each day.

$32 was spent each day on food plus 15% of that amount was given as a tip each day.

And x% of $32 was given on tax.

Then, the equation that best represents the given situation is

280.74/3=49+(0.10)(49)+32+(0.15)(32)+(x/100)(32)

Then 93.58=90.7+(32)(x/100)

⇒32x=2.88×100

⇒x=288/32=9%

Thus, the service tax that is charged on the food each day is 9 %.

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