Posted by Ana on Wednesday, December 26, 2012 at 4:23pm.
At a festival, 2/7 of the number of girls was equal to 3/5 of the number of the boys. There were 165 fewer boys than girls, how many children were at the festival in all?

Math  Steve, Wednesday, December 26, 2012 at 4:40pm
b = g165
2/7 g = 3/5 b
(b,g) = (150,315)

Math  Damon, Wednesday, December 26, 2012 at 4:41pm
b = g  165
2 g/7 = 3 b/5
2 g/7 = (3/5)(g165)
solve for g
then for b
then add b+g

Math  Ana, Wednesday, December 26, 2012 at 5:28pm
Um... I really didn't understand you very clearly. So can you like go through this so I can understand cause I'm not really fimillar with algerbra.

Math  drwls, Thursday, December 27, 2012 at 7:43am
There are g girls and b boys.
2 g/7 = (3/5)(g165)
(See Damon's derivation)
(10/21)g = g  165
11/21 g = 165
g = 315
b = 315 165 = 150
Total = b + g = 465

Math  Jhasmin, Thursday, November 5, 2015 at 5:01pm
Um... How exactly did you find the number of girls? Sorry I don't understand algebra that much.
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