A bag containing 5 red balls, 8 blue balls and 7 yellow balls, what % of the balls are blue?
5+7+8=20 which is the total number of balls that the bag contains
because out of the 20 balls only the 8 are blue, it is right to say that
8/20 = x/100 ⇒ x= (8·100)/20 ⇒ x= 800/20 ⇒ x=40
the blue balls are the 40%
There are 20 balls in the bag altogether.
If 12 of them are not blue, that means that 8 of them are blue. We can find out what percent of the blue balls are in the bag by turning it into a fraction.
The fraction \(\frac{8}{20}\) represents the 8 blue balls out of the 20 balls altogether.
Now that we have our fraction, we can change it into a percent. The fraction \(\frac{8}{20}\) can be reduced to \(\frac{2}{5}\) by dividing both the numerator and denominator by the greatest common factor.
2 ÷ 5 = 0.4
0.4 x 100 = 40%
40% of the balls in the bag are blue.