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?

Question

Mathematics

Desirae Griffith

5 September, 19:30

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?

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Margaret Schwartz · Answer 1

The total amount she spent is equal to the sum of the amount for food and hotel accommodation. Letting x be the percent tax that Tracy was charged for his food, the equation that best represent the given is,

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

The value of x from the equation is 0.09. Thus, Tracy is charged 9% tax on his food.