math
posted by Tyler .
At a festival, 2/7 of the number of girls was equal to 3/5 of the number of boys. There were 165 fewer boys than girls. How many children were at the festival in all?

number of boys  b
number of girls  g
(2/7)g = (3/5)b
g = (3/5)(7/2)b = 21/10 b
g  b = 165
21b/10  b = 165
21b  10b = 1650
11b = 1650
b = 150
g = 21/10(150) = 315
150 boys, 315 girls, total of 465
check:
(2/7)(315 = 90
(3/5)(150) = 90
yeahhh 
Where can i find an explanation of this to apply to other problems

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