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Bo and Erica are yoga instructors. Between the two of them, they teach 42 yoga classes each week. If Erica teaches 12 fewer than twice as many as Bo, how many classes does each instructor teach per week?

Respuesta :

FireDragonz324

Bo=18

Erica=24

To find out how many classes each instructor teaches per week, we can set up a system of equations.  Let's assume Bo teaches x classes per week.  According to the information given, Erica teaches 12 fewer than twice as many as Bo. This means Erica teaches (2x - 12) classes per week.  We also know that between the two of them, they teach 42 classes each week. So, we can write the equation:  x + (2x - 12) = 42  Simplifying the equation, we have:  3x - 12 = 42  Adding 12 to both sides:  3x = 54  Dividing both sides by 3:  x = 18  So, Bo teaches 18 classes per week.  To find out how many classes Erica teaches per week, we substitute the value of x back into the equation:  2x - 12 = 2(18) - 12 = 36 - 12 = 24  Therefore, Erica teaches 24 classes per week.  In summary, Bo teaches 18 classes per week, and Erica teaches 24 classes per week.

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