Posted by **Tyler** on Tuesday, January 1, 2013 at 8:36pm.

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?

- math -
**Reiny**, Tuesday, January 1, 2013 at 10:37pm
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

- math -
**angelina**, Monday, December 2, 2013 at 12:50am
Where can i find an explanation of this to apply to other problems

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