Question
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
food?
a.
b.
c.
d.
cost of the hotel room. However, each person is responsible for the cost of their own meals. His portion of the hotel bill is
food?
a.
b.
c.
d.
Ask by Johnson Barber. in the United States
Mar 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The tax rate on Tracy’s food was 8%.
Solution
We start by separating the costs for the hotel and food.
1. Hotel Cost:
Tracy’s hotel cost per night is given as
and he leaves a 10% tip on the hotel bill. Therefore, for one night the total hotel expense is:
For 3 nights, the total hotel cost is:
2. Food Expense (Before Tax):
Tracy spends a base amount of
per day on eating, so over 3 days this is:
He also leaves a 15% tip on his food cost. The tip amount over 3 days is:
Thus, the total food expense before tax is:
3. Including Tax on Food:
Let the tax rate on the food be
The total amount Tracy spends on the trip is given as:
This total is the sum of the hotel cost and the food cost with tax:
4. Solve for the Tax Rate
Subtract the hotel cost from the total cost to isolate the food portion:
Divide both sides by $110.40:
Calculate the right-hand side:
Thus,
To express this as a percentage, multiply by 100:
5. Final Answer:
The tax rate charged on Tracy’s food was approximately
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Beyond the Answer
To solve for the tax percentage, let’s break down Tracy’s expenses step by step.
-
Hotel Costs:
Tracy stays 3 nights and paysper night for his portion of the hotel bill.
Total hotel cost =. -
Maid Service Tip:
Tracy leaves atip on the hotel cost.
Tip =. -
Meals Costs:
Tracy spendsper day on meals for 3 days.
Total meal cost =. -
Tips on Meals:
Tracy also gives atip on his meals.
Tip on meals =. -
Total Expenses Before Tax:
Now we have to calculate his expenses before tax on food:
Total = Hotel cost + Maid service tip + Meal cost + Meal tip
Total =. -
Total Trip Cost:
According to the problem, Tracy spent a total ofon the trip.
Difference = Total Trip Cost - Total Expenses (before tax)
Difference =. This amount is the tax on his meals. -
Finding the Tax Percentage:
We know his meal cost was. Thus, the tax percentage is:
Tax Percentage =.
So, the answer is
Therefore, the answer is d.
Therefore, the answer is d.
