Question

00/1

Vanessa went to the store to pick up some groceries for her family. She brought $20 to the
store. Vanessa's family needed a carton of eggs, which costs $3 and oranges that cost $0.50
each. Let x represent the amount of oranges that she buys. Write an inequality that can be
used to determine the amount of oranges she can buy at the store.

Answer 1

Vanessa can buy a maximum of x oranges, where x is the number of oranges she can buy at the store. We can represent this mathematically as an inequality by letting x represent the number of oranges she can buy and setting it equal to the total amount of money she has minus the cost of the eggs divided by the cost of each orange:

x ≤ ($20 - $3) / $0.50

This inequality tells us that Vanessa can buy at most x oranges as long as the total cost of the oranges (x * $0.50) is less than or equal to the amount of money she has remaining after buying the eggs ($20 - $3).

In other words, Vanessa can buy at most x oranges as long as the total cost of the oranges is less than or equal to $17.50. This means she can buy at most 35 oranges, since 35 * $0.50 = $17.50. Therefore, the inequality that represents the maximum number of oranges Vanessa can buy is:

x ≤ 35.