SOLUTION: On the planet Maximillian live Sprogs and Graks. Initially there were 800 sprogs and 100 Graks. The population of Sprogs doubles every 6 years and that of Graks doubles every 3 yea

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Question 1134490: On the planet Maximillian live Sprogs and Graks. Initially there were 800 sprogs and 100 Graks. The population of Sprogs doubles every 6 years and that of Graks doubles every 3 years.
a) How many Graks were there after 1.5 years?
Graks
b) When are there as many Sprogs as Graks?
years later
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = number of years gone by
+N%5Bs%5D+ = number of Sprogs after +t+ yrs
+N%5Bg%5D+ = number of Graks after +t+ yrs
+N%5Bs%5D+=+800%2A2%5E%28t%2F6%29+
+N%5Bg%5D+=+100%2A2%5E%28t%2F3%29+
-------------------------------
+t+=+1.5+
+N%5Bs%5D+=+800%2A2%5E%281.5%2F6%29+
+N%5Bs%5D+=+800%2A2%5E.25+
+N%5Bs%5D+=+800%2A1.189207+
+N%5Bs%5D+=+951+ ( rounded off )
and
+N%5Bg%5D+=+100%2A2%5E%281.5%2F3%29+
You can finish now