SOLUTION: In a classroom, there are 3 more girls than boys and the ratio of girls ​to boys is 6 to 5.

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Question 1143927: In a classroom, there are 3 more girls than boys and the ratio of girls ​to boys is 6 to 5.
Found 3 solutions by MathLover1, ikleyn, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let the number of girls be g, and the number of boys+b
if there are 3 more girls than boys, we have
g=b%2B3..........eq.1
if the ratio of girls ​to boys is+6 to 5, we have
g%2Fb=6%2F5........eq.2
substitute g from eq.1
%28b%2B3%29%2Fb=6%2F5........eq.2....solve for b
5%28b%2B3%29=6b
5b%2B15=6b
15=6b-5b
b=15
go to
g=b%2B3..........eq.1...substitute b
g=51%2B3
g=18
so, there are 18 girls and 15 boys
check the ratio
18%2F15=6%2F5...simplify left side
%2818%3A3%29%2F%2815%3A3%29=6%2F5
6%2F5=6%2F5->true

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

What is your question  (in case if you have it . . . )    ?    ??     ???


Without your question, this post makes no sense . . . (as any other post to this forum with no question . . . )



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio 6:5 means 6 girls for every 5 boys.

So let the number of girls be 6x and the number of boys be 5x. The difference between the number of boys and girls is then 6x-5x = x.

But we are told that that difference is 3.

So x = 3; that makes the number of girls 6x=18 and the number of boys 5x=15. But I can't answer your question, because you didn't bother to take the time to ask one....