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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?

A3
B4
C5
D6
E8

Verified Answer :

zachmanthe3rd

This is a classic example of where you would need to use the process of elimination. Let's start with answer A, 3 classes.
If A were to be correct, 3 classes of 45 minutes each would be 132 greater than the amount he paid, 3 classes worth $12. We could easily express this as a math equation:

45 3 = 132 + (12 3)               Then, all you would have to do is simplify:
135 = 132 + 36
135 = 168

Obviously this equation isn't true, and you can continue with answer choice B.
But wait... there's a better way. Using this starting equation, we can come up with a formula to solve for c, the number of classes. Let's take our starting equation:

45 3 = 132 + (12 3)         Now, let's turn all the 3s into cs.
45c = 132 + 12c                   Then, using algebra, we can solve this equation.
-12c           - 12c
33c = 132
33c/33 = 132/33
c = 4

And finally, we have our answer, B! I hope both methods help you in your further studies.

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