Posted by Jane on Wednesday, January 4, 2012 at 5:56pm.
let the number of boys be 33x and the number of girls be 37x
(notice 33x : 37x = 33:37 )
33x + 37x = 350
70x = 350
x = 5
so number of boys = 33(5) = 165
number of girls = 37(5) = 185
So 20 more girls than boys take algebra
notice 165+185 = 350
and 165:185 = 33:37
No need to have a system of equations here, the above is the simplest way to do ratio problems.
I suppose you could say
number of boys -- x
number of girls -- y
then x+y = 350 , or y = 350-x
also x:y = 33:37
x/y = 33/37
37x = 33y
37x = 33(350-x)
37x = 11550 - 33x
70x = 11500
x = 165
then y = 350-165 = 185
as I found much easier and faster above
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