Final answer:
To calculate the total cost of a meal with a 10% discount and an 18% tip on the discounted price, subtract the discount from the original price and then add the tip calculated on the lower price. The total cost of the family's dinner with the discount and tip is $76.46.
Step-by-step explanation:
To calculate the total cost when given a discount and then applying a tip, you should first determine the amount after the discount and then calculate the tip amount on the discounted total. Let's consider the family's dinner bill was $72 and they have a 10% discount coupon.
- Calculate the discount: 10% of $72 is 0.10 × $72 = $7.20.
- Subtract the discount from the original bill: $72 - $7.20 = $64.80. This is the discounted total.
- Next, calculate the 18% tip on the discounted total: 18% of $64.80 is 0.18 × $64.80 = $11.66 (rounded to the nearest cent).
- Add the tip to the discounted total to get the final amount paid: $64.80 + $11.66 = $76.46.
Therefore, the total cost of the dinner after applying the discount and the tip is $76.46.