Question

the number of boys and girls in a class are in the ratio of 7 ratio 5 the number of boys is 8 more than the number of girls what is the class total strength​

Answer 1

✬ Total Strength = 48 ✬

Step-by-step explanation:

Given:

Ratio of boys and girls in the class is 7 : 5.

Number of boys is 8 more than than the number of girls.

To Find:

What is the total class strength ?

Solution: Let assume that x is the common in given ratios. So,

➟ Boys = 7x.........(i)

➟ Girls = 5x

A/q

Boys = 8 more than 5x

Boys = (5x + 8).........(ii)

➬ Equation 1 = 2

$\implies{\rm }$ 7x = 5x + 8

$\implies{\rm }$ 7x – 5x = 8

$\implies{\rm }$ 2x = 8

$\implies{\rm }$ x = 8/2

$\implies{\rm }$ x = 4

Now put the value of x in above ratios.

Boys = 7 × 4 = 28

Girls = 5 × 4 = 20

∴ Class strength = Boys + Girls

➙ 28 + 20

➙ 48

Hence, total class strength / number of students is 48.

Answer 2

Answer:

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