Question

The number of boys and girls in a class are in the ratio7:5.the number of boys is 8 more than the girls. what is the total class strength.

Answer 1

hye


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The number of boys and girls in a class are in the ratio7:5.

=>let bouys be b and gorls be g 


=> b:g = 7:5

=>the number of boys is 8 more than the girls. 

=> b = g+8

lets form an equation

=>$\frac{b}{g} = \frac{7}{5}$

=>$\frac{g+8}{g} = \frac{7}{5}$

=>lets cross multiply


=>7*g = 5[g+8]

=>7g = 5g + 40

=>7g - 5g = 40

=>2g = 40

=>g = 20

gorls are 20

since boys = g +8

                   = 20+8

                     =28 


total strenght = 28+20 

                           = 48 students 

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hope i thelps u..................