Question
The ratio of green to yellow balls in a basket is 5:7. If
15 balls of each color are added, the ratio becomes 2:3. How many yellow balls were originally there?Solution
ATQ,
Let the number of green and yellow balls originally be 5x and 7x respectively.
ATQ:
(5x + 15)/(7x + 15) = 2/3
⇒ 3(5x + 15) = 2(7x + 15)
⇒ 15x + 45 = 14x + 30
⇒ x = 15
So, original yellow balls = 7 × 15 = 105
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