I'm not great at math but I believe the answer is $6.30
a peculiar thing about the centroid of a triangle, is that it cuts all the medians in a 2:1 ratio, so JP : PM are on a 2:1 ratio, thus

She would have used 1200 messages in all by the month of August.
Step-by-step explanation:
Messages allowed per month = 150
There will be 8 months starting from January to August, therefore,
Time period = 8 months
Messages in 8 months = Messages per month * Time period

She would have used 1200 messages in all by the month of August.
Keywords: Multiplication
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The answer in simplest form is 1/4.