Zoe is comparing two local yoga programs. Yoga-Weigh charges $90 a month and registration fee of $35. Essence of Yoga charges $80 per month with a $75 registration fee. After how many months will the schools charge the same amount?
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Let us first note down all the information's that are provided in the question in a sytematic manner and then proceed to solving this problem. Registration fees charged by Yoga-Weigh = $35 Monthly charges of Yoga-Weigh = $90 Registration fees charged by Essence of Yoga = $75 Monthly fees charged by Essence of Yoga = $80 Let us assume that after x months the charges of both the schools will be same. Then we can write the equation as 35 + 90x = 75 + 80x 90x - 80x = 75 - 35 10x = 40 x = 40/10 = 4 So after 4 months the charges of Yoda-Weigh and Essence of Yoga will become the same. I hope the procedure for doing this problem is clear to you.