Posted by **Faith** on Friday, April 8, 2011 at 6:37pm.

in a class the ratio of boys to girls is 3:2, if there are 11 more boys than girls, how many children are in the class

- Maths -
**Jai**, Saturday, April 9, 2011 at 12:42am
first we represent unknowns using variables,,

let x = number of boys

let y = number of girls

according to first statement, ratio of boys to girls is 3:2 or 3/2 . thus we can write,

x/y = 3/2 or

x = (3/2)*y

according to second statement, there are 11 more boys than girls, thus,

x = y + 11

substituting the relationship we ot earlier - the x = (3/2)*y - to this :

(3/2)*y = y + 11

1.5y = y + 11

1.5y - y = 11

0.5y = 11

y = 22 girls

substituting this to x = (3/2)*y

x = 1.5*22

x = 33 boys

hope this helps~ :)

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