The ratio of boys to girls in a group is 5:3. If there are 10 more boys than girls, work out how many people there are in total.
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Step-by-step explanation:
Assume number of girls is X. So number of boys is (X+10)
The ratio of boys to girls is 5/3
Let's try to now set up our equation:
Boys/Girls=(X+10)/X=5/3
I.e. 3*(X+10)=5*X
I.e. 3X + 30 = 5X
I.e. 30 = 5X-3X=2X
I.e.30/2=X
I.e.15=X
So number of girls = 15
And number of boys =15+10=25
And total number of people = 15+25=40
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