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

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.

No a triangle cannot be formed because when you add the two smallest number together (which would be 11) the have to be bigger than the number it is "against" ( which would be 12)