Question

A school has 500 students. If the ratio of number of boys to number of girls is 23:27, how many more girls than boys are there in the school? *

Answer 1

Answer: Let the boys be 23x . Girls be 27x

Total students=500

A. T. Q

27x+23x=500

500/50 x=10

23x=23(10) =230

27(10) =270

Hence, number of girls is =to 270

number of boys=230

Girls more than boys= no. of gils -Boys

270-230

°= 40

there are 40 more girls than boys in the school

Step-by-step explanation:

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Answer 2

Given

• Total number of students in the school = 500
• Ratio of boys to girls = 23:27

To find

• How many more girls than boys are there in school ?

Solution

• Number of boys + Number of girls = Total strength
• 23x + 27x = 500 (x is any number)
• 50x = 500
• x = 500/50
• x = 10

⇾ Value of x is 10

• Number of boys :-
• 23x = 23(10) = 230
• Number of girls :-
• 27x = 27(10) = 270

⇾ Number of boys = 230

⇾ Number of girls = 270

⇾ Girls - Boys = 270 - 230 = 40

⇰ Hence, there are 40 more girls than boys in the school.

Verification

• 23x + 27x = 500
• 23(10) + 27(10) = 500
• 230 + 270 = 500
• 500 = 500
• L.H.S = R.H.S