Final answer:
To calculate the total payment at the restaurant, sum the original bill ($47.50) with a 6% sales tax ($2.85) and a 15% tip ($7.55), totaling $57.90.
Step-by-step explanation:
The student's question involves calculating the total bill for a group of people when dealing with sales tax and tip. To solve this problem, it's important to understand how to add tax to the subtotal and then calculate the tip based on the new total. This is a common real-life problem that people encounter when they go out to eat with friends or family.
To begin, let's determine the sales tax on the meal. The restaurant charges a 6% sales tax. To find this amount, we convert the percentage to a decimal by dividing by 100, which makes it 0.06. We then multiply the total cost of the meal ($47.50) by this decimal:
0.06 × $47.50 = $2.85
Next, we add the $2.85 sales tax to the original bill total, getting a new subtotal of $50.35. If the group decides to leave a 15% tip, we again convert the percentage to a decimal (0.15) and multiply by the new subtotal:
0.15 × $50.35 = $7.55
Adding the tip to the new subtotal gives us the final amount that will be paid at the restaurant's register:
$50.35 + $7.55 = $57.90.