Question

The ratio of girls to boys in a school is 2: 5, if the number of

students is 1400, then the number of girls is: 1

(a) 3500

(b) 560

(c) 400

(d) 100​

Answer 1

Answer:

400

Step-by-step explanation:

2:5 total sum of this ratio is 7

2+5= 7

then our total sum of ratio is 7

now total number of student is 1400

now divide the 1400 by 7

we get 200

this 200 is for 1 in that total 7

so we want to calculate for 2 that is for girl so we

multiple 200×2 =400

Answer 2

Given

Ratio of girls to boys is 2:5

Total number of students is 1400

To Find

we have to find the number of girls

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Ratio of girls be 2x

and the ratio of boys to be 5x

we have given total number of students is 400

Now,equate the given ratio to the total number of students.

=>2x+5x=1400

=>7x=1400

=>x=1400÷7

=>x=200

Hence,the number of girls = 2x= 2×200=400

And number of boys =5x=5×200=1000

Check:

Total number of students=Number of girls +number of boys

=>400+1000=1400

Alternative Method

Total number of students = 1400

Number of girls = Ratio of girls÷ sum of total ratio ×total number of students

=>Number of girls= 2/7×1400=200×2=400

Number of boys = 5/7×1400=200×5=1000

Total number of students=400+1000=1400