Question

The ratio of boys and girls in a school is 5:3 if the total number of students is 1600 then find the number of boys and girls.

Answer 1

Answer:

let the common ratio be x

boys=5x

girls=3x

5x+3x=1600

8x=1600

x=1600/8

×=200

boys=5×200

=1000

girls=3×200

=600

Answer 2

GIVEN :-

• The ratio of boys and girls in a school is 5:3.
• the total number of students is 1600.

TO FIND :-

• The number of boys and girls.

SOLUTION :-

Let the ratio be "x".

$\\ : \implies \displaystyle \sf \: boy \: + girl = total \: students$

$: \implies \displaystyle \sf \:5x + 3x = 1600$

$: \implies \displaystyle \sf \:8x = 1600$

$: \implies \displaystyle \sf \:x = \frac{1600}{8}$

$: \implies \displaystyle \sf \:x = 200$

★ Boys = 5x = 5 * 200 = 1000.

★ Girls = 3x = 3 * 200 = 600.