{"id":276459,"date":"2025-07-31T06:00:45","date_gmt":"2025-07-31T06:00:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=276459"},"modified":"2025-07-31T06:00:47","modified_gmt":"2025-07-31T06:00:47","slug":"alexia-spent-3-minutes-working-on-each-of-her-math","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/31\/alexia-spent-3-minutes-working-on-each-of-her-math\/","title":{"rendered":"Alexia spent 3 minutes working on each of her math\u00a0"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

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

The correct answer is Alexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n

Here is a detailed explanation of how to arrive at the correct answer.<\/p>\n\n\n\n

The problem states that Alexia spends 3 minutes on each math problem and 4 minutes on each science problem. Her total homework time was “more than 60 minutes.” We need to find which of the given scenarios is possible.<\/p>\n\n\n\n

First, let’s represent the situation with a mathematical inequality. Let ‘x’ be the number of math problems and ‘y’ be the number of science problems. The total time spent can be calculated as:<\/p>\n\n\n\n

(3 minutes\/math problem) * (x math problems) + (4 minutes\/science problem) * (y science problems)<\/p>\n\n\n\n

Since the total time is “more than 60 minutes,” we can write the inequality:
3x + 4y > 60<\/strong><\/p>\n\n\n\n

The graph provided shows the boundary line for this inequality, which is the equation 3x + 4y = 60. Because the inequality is strictly “greater than” (>), the line is dashed, meaning any point on the line itself is not a solution. A valid solution must be a point (x, y) that lies in the shaded region above the line.<\/p>\n\n\n\n

Now, we can test each of the multiple-choice options by substituting the values of x (math problems) and y (science problems) into our inequality.<\/p>\n\n\n\n