The probability of selecting a red ball at random from a jar that contains only red, blue and orange ball is .The probability of selecting a blue ball at random from the same jar is . If the jar contains 10 orange balls, find the total number of balls in the jar.

Let the total number of elementary events that is total number of balls in the jar be x

Then, 1/4 x + 1/3 x + 10 = x


120 + 7x = 12 x


120 = 5x


X = 24, being total number of balls in jar


10