Please solve this question i have got exam next week?

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2 Answers
Jan 8, 2018

The ratio of boys: girls is 4:5

It means that if there are #9# students (#4+5# which is the addition of ratios), then #4# are boys.

or #4# out of #9# students are boys.

It can be written as = #4/9# boys.

Now, it given that number of boys = #220#

and we know that this #220# boys are #4/9# of the total students

Let the Total students attending the school = #x#

So, #4/9xxx# = #220#

or #4x# = #220xx9# = #1980#

or #x# = #1980/4# = #495# students

Jan 8, 2018

#495# students

Explanation:

If the ratio of boys to girls is #4" ":" "5#, then we know the following:

There are more girls than boys.

For every #4# boys there are #5# girls

The total number of students is a multiple of #9#.

We could also state the question as:

Increase #220# in the ratio #9" ":" "4#

This will give us the total number of students in one calculation.

#220 xx 9/4#

#=495# students

Note that dividing: #220 div4 = 55# tells us how many students one part represents.

So to find #9# parts: #55 xx9 = 495#