# Math

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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 -

b = g-165
2/7 g = 3/5 b

(b,g) = (150,315)

• Math -

b = g - 165

2 g/7 = 3 b/5

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

solve for g
then for b

• Math -

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 -

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 -

Um... How exactly did you find the number of girls? Sorry I don't understand algebra that much.

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