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Linear equations in two variables SAT question

Math · Algebra · Hard · Answer it here, explanation included.

A certain apprentice has enrolled in hours of training courses. The equation represents this situation, where is the number of on-site training courses and 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?

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

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

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