Question

A school had 264 students last year, where the ratio of boys to girls in a school last year was 21:23. Given than this year 4 boys left and 2 new girls enrolled to the school, work out the new ratio of boys to girls.

Answer 1

Answer:

Sum of ratios last year=44

No. of boys last year=21/44*264=

126

No. of girls = 23*44/264= 138

No of boys this year=126-4=122

No of girls this year =138+2=140

Ratio=122:140

=61:70

Answer 2

Answer:

$21x + 23x = 264 \\ 44x = 264 \\ x = 6 \\ no \: of \: boys \: = 126 \\ no \: of \: girls \: = 138 \\ no \: of \: boys \: when \: new \: students \: left = 122 \\ no \: of \: girls = 140 \\ \\ hence \: ratio = 122 \div 140 = 61 \div 70$

hence ratio =61/70

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