In a soccer league, the ratio of boys to girls is 4 to 6. There are a total of 50 players in the soccer league. Determine how many girls play in the soccer league
30+20=50-20=30
To determine the number of girls playing in the soccer league, we need to find out the proportion of girls compared to the total number of players.
The ratio of boys to girls is given as 4 to 6. This means that for every 4 boys, there are 6 girls. We can simplify this ratio by dividing both numbers by their greatest common divisor, which is 2.
Dividing 4 by 2 gives us 2, and dividing 6 by 2 gives us 3. So, the simplified ratio is 2 to 3. This means that for every 2 boys, there are 3 girls.
Now, we can set up a proportion to solve for the number of girls in the league. Let's say there are "x" boys in the league. According to the ratio, there would be (2/3) * x girls in the league.
Since we know the total number of players is 50, we can set up an equation:
x + (2/3) * x = 50
To solve this equation, we can combine like terms:
(5/3) * x = 50
Now, let's isolate x by multiplying both sides of the equation by 3/5:
(5/3) * (3/5) * x = 50 * (3/5)
This simplifies to:
x = 30
So, there are 30 boys in the league. To find the number of girls, we can use the proportion (2/3) * x:
(2/3) * 30 = 20
Therefore, there are 20 girls playing in the soccer league.
Number of girls = (6 / 10)* 50 = 6*5 = 30
so there are 30 girls in the soccer league.
Boys = 4x.
Girls = 6x.
4x + 6x = 50.
X = 5.
Boys = 4x = 4 * 5 = 20.
Girls = 6x = 6 * 5 = 30.