The probaility of selecting a red ball at random from a jar that contains only red,blue and orange ball is 1/4.The probability of selecting a blue ball at random from the same jar is 1/3.If this jar contains 10 orange balls,then what is the total number of balls in the jar?
let total no of balls be x
then - no. of red balls = x*[1/4]
no. of blue balls = x*[1/3]
no . of orange balls = 10 [given]
so x = x[1/4] +x[1/3] + 10
= x/4 + x/3 +10
=[3x + 4x]/12 +10
= 7x / 12 +10
x =[7x + 120]12
[12] x = 7x +120
12x = 7x + 120
12x -7x =120
5x =120
x =120/5
x =24
so total balls =24
then - no. of red balls = x*[1/4]
no. of blue balls = x*[1/3]
no . of orange balls = 10 [given]
so x = x[1/4] +x[1/3] + 10
= x/4 + x/3 +10
=[3x + 4x]/12 +10
= 7x / 12 +10
x =[7x + 120]12
[12] x = 7x +120
12x = 7x + 120
12x -7x =120
5x =120
x =120/5
x =24
so total balls =24