Question

In Justin's school 0.825 of the students participate in a sport. If there are 1000 students in Justin's school, how many participate in a sport?

Answer 1

825

Explanation:

Let the number of students who participated in the sport be x, which is equivalent to 0.825

The total number of students in the school is equivalent to 1

Expressing mathematically,we obtain

0.825:x=1:1000

`\implies (0.825)/(x)= (1)/(1000)`

By cross multiplying we obtain,

`x=0.825 * 1000`

We finally simplify to arrive at

`x=825`

Hence the number of students who participated in the sport is 825

Answer 2

825 students

Explanation:

When we say 0.825 students participate, we are actually meaning that 82.5% of the students are participating.

Note: to get decimal to percentage, we move the decimal 2 places right

In total there are 1000 students, so we need to find 82.5% of them to find the number who participate in a sport.

Note: To get this, we need to multiply 1000 by the DECIMAL of 82.5%, which is 0.825.

Hence, we have 1000 * 0.825 = 825 students