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?

Answer 1

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

Answer 2

Where can i find an explanation of this to apply to other problems

Answer 3

Barbie poops out party cats with mustaches and baby horses eating butts

Answer 4

The fact I can get it right away with a lot more fun and addicting and I don't think that it was not immediately available to all of them in my head

Answer 5

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Answer 6

Can you simplify it to 6th grader terms