Answer :
To determine how much Charlie will pay in total, we need to break down the costs in a step-by-step manner:
1. Ticket Price:
- Charlie bought a ticket for [tex]$288.00$[/tex].
2. Tax Calculation:
- The tax rate on the ticket is [tex]\(7.5\%\)[/tex] (which is equivalent to [tex]\(\frac{7.5}{100} = 0.075\)[/tex]).
- Calculate the tax amount: [tex]\(288 \times 0.075 = 21.60\)[/tex]
3. Additional Fees:
- He also had to pay an additional [tex]$26.00 in fees. 4. Total Payment: - Add the ticket price, the calculated tax amount, and the additional fees to find out the total amount Charlie will pay. - Total payment = \(288.00 + 21.60 + 26.00 = 335.60\) Looking at the provided options, the correct one should reflect this calculation process: 1. First Option: \(288+(288 \div 0.075)-26\) - This option is incorrect because \( \div \) indicates division, which does not represent the tax calculation correctly. 2. Second Option: \(288-(288 \div 0.075)+26\) - This option is incorrect for the same reason as above. 3. Third Option: \(288+(288 \times 0.075)+26\) - This option is correct. It correctly calculates the tax by multiplying \(288\) by \(0.075\) and then adds the additional fees. 4. Fourth Option: \(288-(288 \times 0.075)+26\) - This option is incorrect because it subtracts the tax amount instead of adding it. Conclusion: The third option, \(288+(288 \times 0.075)+26\), correctly shows how much Charlie will pay in total, which is \(\$[/tex] 335.60\).
1. Ticket Price:
- Charlie bought a ticket for [tex]$288.00$[/tex].
2. Tax Calculation:
- The tax rate on the ticket is [tex]\(7.5\%\)[/tex] (which is equivalent to [tex]\(\frac{7.5}{100} = 0.075\)[/tex]).
- Calculate the tax amount: [tex]\(288 \times 0.075 = 21.60\)[/tex]
3. Additional Fees:
- He also had to pay an additional [tex]$26.00 in fees. 4. Total Payment: - Add the ticket price, the calculated tax amount, and the additional fees to find out the total amount Charlie will pay. - Total payment = \(288.00 + 21.60 + 26.00 = 335.60\) Looking at the provided options, the correct one should reflect this calculation process: 1. First Option: \(288+(288 \div 0.075)-26\) - This option is incorrect because \( \div \) indicates division, which does not represent the tax calculation correctly. 2. Second Option: \(288-(288 \div 0.075)+26\) - This option is incorrect for the same reason as above. 3. Third Option: \(288+(288 \times 0.075)+26\) - This option is correct. It correctly calculates the tax by multiplying \(288\) by \(0.075\) and then adds the additional fees. 4. Fourth Option: \(288-(288 \times 0.075)+26\) - This option is incorrect because it subtracts the tax amount instead of adding it. Conclusion: The third option, \(288+(288 \times 0.075)+26\), correctly shows how much Charlie will pay in total, which is \(\$[/tex] 335.60\).
