Question

The ratio of the number of girls to the number of boys in a college having 1440 students is 5:3. If 36 new
girls and some new boys are admitted to the college, the ratio of the number of girls to the number of boys
changes to 3 : 2. Find the number of new boys admitted to the college.​

Answer 1

Step-by-step explanation:

Let the no. of boys=7x

No. of girls=5x

7x+5x=1440

12x=1440⇒x=120

∴ No. of boys=120×7=840

No. of girls=5×120=600

Let y be the no. of girls to be added

⇒

3

4

=

600+y

840+40

⇒2400+4y=3320+120

⇒4y=3440−2400=1040

⇒y=

4

1040

=260

∴ no. of girls that needs to be added =260