Three fourth of the number of girls in a school is equal to half of the number of the boys.if the school has 1420 pupils.how many of them are boys.

5 answers

b+g = 1420
3g/4 = b/2

. . .
B+g=1420 ' 3g/4=b/2
B=1420-g ' 3g/4=1420-g/2
B=1420-568 4×3g/4=4×1420-g/2
B=852 3g=2840-2g
3g+2g=2840
5g=2840
G=2840/5
G=568
Total pupils = 1420
Let boys be x
so girls are 1420-x
ATQ
¾(1420-x) =½(x)
1065-¾(x)=½(x)
1065=(2x+3x)4
1065=5x/4
1065×4÷5
=852 boys
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