Question

A soccer league has 160 players. Of those players 60% are boys. How many boys are in the league? *

Answer 1

60% of 160 is 96. Therefore there are 96 boys on the soccer league.

Answer 2

96 players are boys in the league.

Explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Then:

`x=(c*b)/(a)`

Taking into account that 160 players represents 100% of the team, the rule of three applies as follows: if 100% is the percentage representing 160 players, 60% how many players does it represent?

`Number of players=(60*160 players)/(100)`

Number of players=96

96 players are boys in the league.