Question

A holiday touring group has an equal number of adults and children. When n oranges are given to the group, each adult gets two oranges while leaving 5 oranges in the box. Write an algebraic expression for the number of oranges given to the adults.

a) 2n
b) n/2
c) 2n - 5
d) n/2 - 5

Answer 1

The algebraic expression representing the number of oranges given to the adults in the group is 2n - 5, after accounting for the 5 oranges remaining in the box.

Step-by-step explanation:

To find the algebraic expression for the number of oranges given to the adults in the group, we can set up a simple model based on the conditions described in the question. Since n oranges are distributed and each adult gets 2 oranges, we would usually multiply the number of adults by 2 to get the total number of oranges that adults received. However, since there are 5 oranges left in the box after distribution, we must account for them by subtracting those 5 from the total number of oranges n. Thus, the algebraic expression for the number of oranges given to the adults is 2n - 5.