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The yoga company Yoga for Life offers 45-minute classes at
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27 May 2018, 03:51
27 May 2018, 03:51
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Question Stats:
82% (01:57) correct
17% (01:33) wrong based on 84 sessions
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The yoga company Yoga for Life offers 45-minute classes at $12 per class. If the number of minutes Randolf spent doing yoga this month was 132 greater than the number of dollars he paid, how many classes did he attend?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
Re: The yoga company Yoga for Life offers 45-minute classes at
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27 May 2018, 12:59
27 May 2018, 12:59
1
Expert Reply
Explanation
The typical way to do this problem would be to assign variables and set up equations, using x to represent the number of classes Randolf took, 12x to represent the amount he paid, and 45x to represent the number of minutes he spent.
A quicker way might be to notice that with every class Randolf takes, the difference between the number of minutes he spends and the amount he pays increases by 33. If Randolf takes 1 class, then the number of minutes he spends is 33 greater than the number of dollars he pays. If he takes 2 classes, the number of minutes is 66 greater than the number of dollars, and so on. Since 132 = 4 × 33, Randolf must have taken 4 classes.
Hence option B is correct!
The typical way to do this problem would be to assign variables and set up equations, using x to represent the number of classes Randolf took, 12x to represent the amount he paid, and 45x to represent the number of minutes he spent.
A quicker way might be to notice that with every class Randolf takes, the difference between the number of minutes he spends and the amount he pays increases by 33. If Randolf takes 1 class, then the number of minutes he spends is 33 greater than the number of dollars he pays. If he takes 2 classes, the number of minutes is 66 greater than the number of dollars, and so on. Since 132 = 4 × 33, Randolf must have taken 4 classes.
Hence option B is correct!
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Re: The yoga company Yoga for Life offers 45-minute classes at
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07 Jun 2018, 15:48
07 Jun 2018, 15:48
4
Expert Reply
sandy wrote:
The yoga company Yoga for Life offers 45-minute classes at $12 per class. If the number of minutes Randolf spent doing yoga this month was 132 greater than the number of dollars he paid, how many classes did he attend?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
We can let n = the number of classes Randolf attended. Thus, the number of minutes he spent is 45n, and the number of dollars he paid is 12n. We can create the equation:
45n = 12n + 132
33n = 132
n = 4
Answer: B
