{"id":277261,"date":"2025-07-31T14:14:24","date_gmt":"2025-07-31T14:14:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=277261"},"modified":"2025-07-31T14:14:26","modified_gmt":"2025-07-31T14:14:26","slug":"at-the-snack-bar-hot-dogs-cost-4-each-and-bottled-water-costs-2-each-3","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-3\/","title":{"rendered":"At the snack bar, hot dogs cost $4 each and bottled water costs $2 each"},"content":{"rendered":"\n
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The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

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

Here is an explanation of the solution.<\/p>\n\n\n\n

To solve this problem, we first need to create a mathematical inequality based on the information given. Let ‘x’ represent the number of hot dogs sold and ‘y’ represent the number of bottled waters sold. Since each hot dog costs $4 and each bottle of water costs $2, 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 4x + 2y < 12.<\/p>\n\n\n\n

In addition to this inequality, we must consider the real world context of the problem. The variables x and y represent the number of items sold, which means they must be whole, non-negative numbers. It is impossible to sell a negative number of hot dogs or a fraction of a water bottle.<\/p>\n\n\n\n

Now we can test each ordered pair (x, y) to see if it meets both conditions: the inequality and the real world constraints.<\/p>\n\n\n\n