The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
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Answer:
48
Step-by-step explanation:
ratio of boy:girl is 7:5 which means
b/g = 7/5
let b be the number of boys
let g be the number of girls
b = 8 more than girls = g+8
b = g + 8
now you can substitute b in the first equation
( g + 10) / g = 7/5
solve for 'g'
5( g + 8 ) = 7g
5g + 40 = 7g
40 = 2g
g =20, number of girls = 20
now find b,
b = g + 8
b = 20 + 8
b = 28, number of boys= 28
class strength = 28 + 20 = 48
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