Question

A class of 20 boys and 15 girls is divided into n groups such that each group has x boys and y girls find x,yand n

Answer 1

$\textbf{Answer}$

Total number of boys = 20
We can write 20 as,
$\textbf{20 = 5*4}$

Total number of girls = 15
We can write 15 as,
$\textbf{15 = 5*3}$

Now 20 boys and 15 girls are divided into $\textbf{n groups}$.

Since 5 is highest common factor of 20 and 15,

=> $\textbf{n = 5}$

Total group = 5
Total boys = 20
Every group has x number of boys,
=> 5×x = 20
=> x = 20/5
=> x = 4

Total group = 5
Total girls = 15
Every group has y number of girls,
=> 5×y = 15
=> y = 15/5
=> y = 3

$\textbf{x=4, y=3, n=5}$

$\textbf{Hope My Answer Helped}$
$\textbf{Thanks}$

Answer 2

Total number of boys = 20
We can write 20 as,
\textbf{20 = 5*4}20 = 5*4 

Total number of girls = 15
We can write 15 as,
\textbf{15 = 5*3}15 = 5*3 

Now 20 boys and 15 girls are divided into \textbf{n groups}n groups .

Since 5 is highest common factor of 20 and 15,

=> \textbf{n = 5}n = 5 

Total group = 5
Total boys = 20
Every group has x number of boys,
=> 5×x = 20
=> x = 20/5
=> x = 4

Total group = 5
Total girls = 15
Every group has y number of girls,
=> 5×y = 15
=> y = 15/5
=> y = 3

\textbf{x=4, y=3, n=5}x=4, y=3, n=5