Question

A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6. The equation below represents the situation, where x is the cost of each friend's meal.

a. The cost of each friend's meal in terms of a is ______.
b. The cost of each friend's meal when the number of friends is 5 is $_________

Answer 1

The cost of each friend's meal in terms of a is $35 divided by a. When the number of friends is 5, the cost of each friend's meal is $7.

Step-by-step explanation:

The student's question involves determining the cost of a meal per person based on the total spending limit, including a delivery charge. Given that the total amount the group can spend is $41, and the delivery charge is $6, the equation that represents the situation is:

Total amount = (Cost of each friend's meal) x (Number of friends) + Delivery charge

Let a represent the number of friends. To find the cost of each friend's meal in terms of a, the delivery charge should be subtracted from the total amount, and then the result should be divided by the number of friends:

Cost of each friend's meal = (Total amount - Delivery charge) / a

Cost of each friend's meal = ($41 - $6) / a

Cost of each friend's meal = $35 / a

To find the cost of each friend’s meal when the number of friends is 5:

Cost of each friend's meal for 5 friends = $35 / 5

Cost of each friend's meal for 5 friends = $7