Question

An amount of 600 is to be divided among 700 boys and girls so that each boy 0.75 and each girl gets 1.00 what is the ratio of the number of boys and girls

Answer 1

Let the number of girls be X and boys be Y
X + Y = 700 ........... (1)

With this each boy received 0.75 and girl received is 1 means that boys received ¾ (which is 0.75) of girls.

amount received by girls + boys = 600
X + ¾Y = 600 ........... (2)

(1)-(2) =>
X + Y = 700
-X - ¾Y = -600
________________
¼Y = 100

Y = 400
Now, substituting the value of Y in equation (1)

X + Y = 700
X +400 = 700 => X = 300

The ratio of ratio of number of boys to girls is:-
X/Y => 400/300 => 4/3 or 1⅓

Answer 2

Answer:

4:3

Step-by-step explanation:

let X be boys

and Y be girls

Given total strength(X+Y)=700 -----(1)

boys=0.75rs

girls=1rs

0.75X+1Y=600 -----(2)

(1)-(2)--> X+Y=700

0.75X+1Y=600

(-) (-) (-)

0.25X = 100

X=400

substitute X in (1) ---> 400+Y=700

Y=700-400

Y=300

ratio of the number of boys and girls = X/Y

=400/300

=4:3