Final answer:
The Smith family spent $27.58 on their dinner, which includes the original meal cost of $23.65, sales tax of $1.42, and a tip of $2.51.
Step-by-step explanation:
To calculate how much money the Smith family spent on their dinner, we need to consider the cost of the meal, sales tax, and the tip. The cost of the meal was $23.65.
First, we calculate the sales tax. To do that, we convert the percent to a decimal and multiply by the total cost of the meal: Sales Tax = 0.06 × $23.65 = $1.419.
We round the sales tax to the nearest cent, which gives us $1.42. Next, we calculate the tip amount. The tip is 10% of the total of the meal plus sales tax. Therefore, we first add the sales tax to the meal cost:
Total after-tax = $23.65 + $1.42 = $25.07
Now we find the tip:
Tip = 0.10 × $25.07 = $2.507, which rounds to $2.51.
The total cost of the meal including sales tax and tip is:
Total Spent = Cost of meal + Sales tax + Tip
Total Spent = $23.65 + $1.42 + $2.51 = $27.58.
Therefore, the Smith family spent $27.58 on their dinner.