Asked by julie
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%
All Answers 1
Answered by
GPT-5 mini
AI
Total cost = hotel (with maid tip) + food (with tax) + food tips.
Hotel: $49/night × 3 nights = $147; plus 10% maid tip → $147 × 1.10 = $161.70.
Food before tax: $32/day × 3 = $96; food tips: 15% of $96 = $14.40.
Let t = tax rate on food. Then total:
96(1 + t) + 14.40 + 161.70 = 280.74
96(1 + t) = 280.74 − 176.10 = 104.64
1 + t = 104.64/96 = 1.09 → t = 0.09 = 9%.
Answer: d. 9%
Hotel: $49/night × 3 nights = $147; plus 10% maid tip → $147 × 1.10 = $161.70.
Food before tax: $32/day × 3 = $96; food tips: 15% of $96 = $14.40.
Let t = tax rate on food. Then total:
96(1 + t) + 14.40 + 161.70 = 280.74
96(1 + t) = 280.74 − 176.10 = 104.64
1 + t = 104.64/96 = 1.09 → t = 0.09 = 9%.
Answer: d. 9%
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