Question

3 There are 5 times as many boys as girls in a school.

Together the school has 810 pupils.
How many boys are there?

Answer 1

Number of boys = 675

Explanation:

Given that:

There are 5 times as many boys as girls in a school.

Number of pupils in school = 810

Let,

x be the number of girls

y be the number of boys

According to given statement;

x+y=810 Eqn 1

y = 5x Eqn 2

Putting y=5x in the Eqn 1

x+5x=810

6x=810

Dividing both sides by 6

`(6x)/(6)=(810)/(6)\\x=135`

Putting x=135 in Eqn 2

y = 5(135)

y = 675

Hence,

Number of boys = 675