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Helen is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, she spent a total of $90. Helen will be earning a base salary of $55 per month from the gym, plus an additional $5 for every class she teaches. If Helen teaches a certain number of classes during her first month as an instructor, she will earn back the amount she spent on certification. How many classes will that take? How much will Helen's expenses and earnings be?

User Bristows
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To earn back the amount Helen spent on certification, she would need to earn $90. Since her base salary is $55 per month, she would need to teach an additional $90 - $55 = $35 in classes. Since she earns $5 per class, she would need to teach $35 / $5 = 7 classes.

So, Helen will need to teach 7 classes to earn back the amount she spent on certification.

Her total earning for teaching 7 classes would be $55 (base salary) + $5 (per class) * 7 (classes) = $110

Therefore Helen's expenses and earning would be $90 (certification cost) and $110 (earning) respectively.

User Eddie Yang
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