[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
- In a school, the number of girls are 15% more than boys
[tex]\bold{\underline{ To\: Find :- }}[/tex]
- We have to find the ratio of the number of boys to the girls
[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]
Let the total strength of the class be 100 and number of girls be x
Therefore,
The number of boys be = x - 15
According to the question,
[tex]\sf{ Total \:strength = x + ( x + 15 )}[/tex]
[tex]\sf{ 100 = 2x + 15}[/tex]
[tex]\sf{ 100 - 15 = 2x }[/tex]
[tex]\sf{ 85 = 2x }[/tex]
[tex]\sf{x = 85/2}[/tex]
Thus, The number of girls be 85/2
Now,
Number of boys = 85/2 - 15
[tex]\sf{boys = 85 - 30/2 }[/tex]
[tex]\sf{ boys = 55/2 }[/tex]
Ratio of boys and girls :-
[tex]\sf{ = 55/2/85/2}[/tex]
[tex]\sf{= 55/85}[/tex]
[tex]\sf{= 11/17 }[/tex]
Hence, The ratio of the girls and boys is 11:17 .
