In a classroom, one-fifth of the boys leave the class and the ratio of the remaining boys to girls is 2:3. If further 44 girls leave the class, the ra
In a classroom, one-fifth of the boys leave the class and the ratio of the remaining boys to girls is 2:3. If further 44 girls leave the class, the ratio of boys to girls is 5:2. How many more boys should leave the class so that the number of boys equals that of girls ?
A. 16
B. 24
C. 30
D. 36
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Correct Answer - B
Let no of Boys = x
`&` Let no of girls = y
`"Given "(((4x)/(5)))/(y)=(2)/(3)`
`(2x)/(5y)=(1)/(3)`
`y=(6x)/(5)`
`"Also, "(((4x)/(5)))/(y-44)=(5)/(2)`
`8x=25((6x)/(5)-44)" ""(use 1)"`
x=50
y=60
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