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Question

Difficulty: EasyPercents and Percent Change

The price of a ticket to a museum is 25.Ifa25. If a 6\%$ sales tax is added to the price of the ticket, what is the total cost of the ticket, in dollars?

Answer: 26.5 dollars

Answer

The correct answer is 26.5.
To find the total cost of the museum ticket, the 6%6\% sales tax must be added to the original price. The tax amount is calculated by converting the percent to a decimal and multiplying it by the original price: 25×0.06=1.525 \times 0.06 = 1.5 dollars. Adding this tax to the original price of 2525 gives the total cost: 25+1.5=26.525 + 1.5 = 26.5 dollars. Alternatively, this can be solved by multiplying the original price by 1.061.06: 25×1.06=26.525 \times 1.06 = 26.5 dollars.

Step-by-Step Solution

1
Calculate the amount of sales tax.
1.51.5 dollars
To find 6%6\% of 2525, convert the percentage to a decimal by dividing by 100 (6%=0.066\% = 0.06) and multiply by the ticket price: 25×0.06=1.525 \times 0.06 = 1.5.
2
Add the sales tax to the original ticket price to get the total cost.
26.526.5 dollars
The total cost is the sum of the original price and the tax: 25+1.5=26.525 + 1.5 = 26.5.

Key Concept

Calculating a final value after a percentage increase

Alternative Method

The total cost of the ticket including a 6%6\% tax can be found in one step by multiplying the original price by 1.061.06: 25×1.06=26.525 \times 1.06 = 26.5.
Estimated Time:45s
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Topics

Percents and Percent Change

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