Final answer:
To calculate the total cost for three diners at the restaurant, add the cost of the appetizer, main course, and dessert for each diner, multiply by three, calculate the tip, and add it to the total. The diners spend a total of $65.25 at the restaurant, including the tip.
Step-by-step explanation:
The subject of this question is Mathematics, and it concerns calculating the total bill at a restaurant, including sales tax and tip. The diners each ordered an appetizer for $5.00, a main course for $10.25, and a dessert for $3.50. To find the cost for each diner, we add the prices of the appetizer, main course, and dessert:
$5.00 + $10.25 + $3.50 = $18.75 (cost per diner)
Since there are three diners, we multiply the cost per diner by the number of diners:
3 x $18.75 = $56.25 (total cost for all diners before tip)
Next, we find the tip by calculating 16% of the total bill:
0.16 x $56.25 = $9.00 (tip amount)
Finally, we add the tip to the total cost to find out how much money they spend at the restaurant:
$56.25 + $9.00 = $65.25 (total cost including tip)