Question

the ratio of the number of girls to the number of boys in a school of 720 students is 3:5.If 18 new boys were admitted in the school,find how many new girls may be admitted so that the ratio of number of girls to the number of boys may change to 2:3?​

Answer 1

Answer:

NUMBER OF GIRLS ADMITTED IS 42 GIRLS !!!

Step-by-step explanation:

PARAMETERS GIVEN,

RATIO OF NUMBER OF GIRLS TO NUMBER OF BOYS = 3:5

TOTAL NUMBER OF STUDENTS = 720

LET THE COMMON RATIO BE x

SO,

NUMBER OF GIRLS = 3x

NUMBER OF BOYS = 5x

SO,

3x+5x=720

8x=720

x=720/8

x=90

SO,

NUMBER OF BOYS = 5*90=450

NUMBER OF GIRLS = 3*90=270

NOW,

LET THE NUMBER OF GIRLS BE x

SO,

NUMBER OF BOYS = 450+18=468

SO,

RATIO OF NUMBER OF GIRLS TO NUMBER OF BOYS= 2:3

SO,

SO,

A.T.Q.,

x/468 = 2/3

3x=468*2

x=(468*2)/3

x= 312

SO,

NUMBER OF GIRLS ADMITTED = 312-270

                                                     = 42

SO,

42 GIRLS ARE ADMITTED!!!

I HOPE YOU UNDERSTOOD THE QUESTION!!!