{"id":277255,"date":"2025-07-31T14:07:24","date_gmt":"2025-07-31T14:07:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=277255"},"modified":"2025-07-31T14:07:26","modified_gmt":"2025-07-31T14:07:26","slug":"at-the-snack-bar-hot-dogs-cost-4-each-and-bottled-water-costs-2-each-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/31\/at-the-snack-bar-hot-dogs-cost-4-each-and-bottled-water-costs-2-each-2\/","title":{"rendered":"At the snack bar, hot dogs cost $4 each and bottled water costs $2 each."},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct answers are (2, 1)<\/strong> and (1, 3)<\/strong>.<\/p>\n\n\n\n

To determine the reasonable solutions, we first need to create a mathematical inequality based on the problem’s description. Let x represent the number of hot dogs sold, and let y represent the number of bottled waters sold. Since hot dogs cost $4 each and bottled water costs $2 each, the total cost can be represented by the expression 4x + 2y. The problem states that the total sales were “less than $12.” This translates to the inequality:<\/p>\n\n\n\n

4x + 2y < 12<\/p>\n\n\n\n

Next, we must consider the “reasonable” aspect of the solutions. Since x and y represent physical items being sold, they cannot be negative numbers or fractions. Therefore, both x and y must be non-negative whole numbers (integers \u2265 0).<\/p>\n\n\n\n

Now we can test each ordered pair (x, y):<\/p>\n\n\n\n