In a family, each boy has as many sisters as brothers, but each sister has only half as many sisters as brothers. How many children are there in the family?

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In a family, each boy has as many sisters as brothers, but each sister has only half as many sisters as brothers. How many children are there in the family?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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ok
@Decart show me the solution please :)
Ah ok I got it by fingers. But is there any mathematecal equation to solve this kind of problem? Its like a riddle.

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Other answers:

boys = x girls = y
there are 7 children, 4 boys and 3 girls...
@campbell_st can you show me your solution?
plenty of options...
i find this quite tricky..
two equations two unknowns
if you rewrite Decarts equations you have y = -1 and 0.5y - x = 1
oh wait. im still trying to figure it out. its tricky :/
for me it was trial and error knowing that there needed to be an odd number of children I knew 3 doesn't work, 5 works for the boy having equal sisters and brothers but doesn't work for the girl, so try 7 works
- thats probably the best way i've got a headache trying to create the equations
but we can get them
maybe i need another coffee - lol
@cwrw238 haha, my brother too. until he left me here alone :/
brother = x+y sister=x+.5y
.5y when we took one away
sister = 2x+y
brother is actually x+1
x+1brother has x-1+y x-1 being himself
1 + 2x = x + y where x = girls, y = boys is one equation
x+1+y=y-1+2x
that gives x + 1 = 1 + 2x giving x=0
i formulated an equation XD x - 1 = y y - 1 = x/2
x - 1 = 0.5y is another so u have 1 + 2x = x + y x -1 = 0.5y is that right??
@cwrw238 i'll try to solve yours & you try mine :)
yes that gives x = 3 y=4
oh ok
awesome
x - 1 = y y - 1 = 0.5x add x - 2 = 0.5x x = 4 y = 4-1 = 3
in your equation x = boys , y = girls right? yours come out right too
ya and yours is x = girls and y = boys,right?
yea well done
thank you @cwrw238 :)

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