A certain apprentice has enrolled in 85 hours of training courses. The equation 10 x + 15 y = 85

Question

A certain apprentice has enrolled in 85 hours of training courses. The equation 10 x + 15 y = 85 represents this situation, where x is the number of on-site training courses and y is the number of online training courses this apprentice has enrolled in. How many more hours does each online training course take than each on-site training course?

Accepted Answer

The correct answer is 5 . It's given that the equation 10 x + 15 y = 85 represents the situation, where x is the number of on-site training courses, y is the number of online training courses, and 85 is the total number of hours of training courses the apprentice has enrolled in. Therefore, 10 x represents the number of hours the apprentice has enrolled in on-site training courses, and 15 y represents the number of hours the apprentice has enrolled in online training courses. Since x is the number of on-site training courses and y is the number of online training courses the apprentice has enrolled in, 10 is the number of hours each on-site course takes and 15 is the number of hours each online course takes. Subtracting these numbers gives 15 - 10 , or 5 more hours each online training course takes than each on-site training course.

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