Question

The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many more boys than girls are there?

Answer 1

Step-by-step explanation:

There are 21 boys and 15 girls in the class

Answer 2

Let the number of boys be x

number of girls be (36-x)

By conditions,

x:(36-x) = 7:5

$\frac{x}{36 - x} = \frac{7}{5} \\ \\ 5x = 7(36 - x) \\ \\ 5x = 252 - 7x \\ \\ 5x + 7x = 252 \\ \\ 12x = 252 \\ \\ x = \frac{252}{12} = 21$

Therefore total number of boys = 21

total number of girls = 36-21 = 15

Number of boys more than girls = 21-15 = 6

Therefore there are 6 boys more than girls

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