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 = g-165

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)(g-165)

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.

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**drwls**, Thursday, December 27, 2012 at 7:43am
There are g girls and b boys.

2 g/7 = (3/5)(g-165)

(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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