Question

Charmaine is buying nuts. She will buy at most 2 kilograms of nuts. The nuts cost 3 dollars per kilogram. Let's look at the possible numbers of dollars Lena will spend on nuts. Write an inequality.

Answer 1

The inequality to represent the scenario of Charmaine buying at most 2 kilograms of nuts at 3 dollars per kilogram is 3n ≤ 6, where n is the number of kilograms of nuts she buys.

Step-by-step explanation:

The question is asking us to write an inequality to represent the scenario where Charmaine is buying nuts and she will buy at most 2 kilograms of nuts, with the nuts costing 3 dollars per kilogram. Here is the step-by-step explanation to find the inequality:

1. Let's denote the number of kilograms of nuts Charmaine buys as n.
2. The cost for each kilogram of nuts is 3 dollars. Therefore, the total cost of buying n kilograms of nuts is 3n dollars.
3. Since Charmaine will buy at most 2 kilograms, we have n ≤ 2. This means n can be 2, 1, or anything less, including zero (in case she decides not to buy any nuts).
4. Multiplying both sides of the inequality n ≤ 2 by 3 (since the nuts are 3 dollars per kilogram) gives us 3n ≤ 6. This new inequality represents the maximum amount of money Charmaine will spend.

Therefore, the inequality that represents the possible number of dollars Charmaine will spend on nuts is 3n ≤ 6.