If p varies directly with q, and p = 10 when q = 2, what is the value of p when q = 20? . is the answer 40?

NO, THE ANSWER IS NOT 40.

The solution to the problem is as follows:

If they vary directly, their ratio is always equal to the same number. 
Since 10/2 = 5, any p/q has to = 5. 
So p/20 = 5 

p = 5 x 20 = 100

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