Question
The ratio of candies in three boxes is 3:8:10. When 6
candies are added to each box, the ratio becomes 21:46:56. Find the total number of candies initially in all three boxes.Solution
ATQ, The number of candies in three boxes be 3x, 8x and 10x respectively. (3x + 6)/(8x + 6) = 21/46 46(3x + 6) = 21(8x + 6) 138x + 276 = 168x + 126 276 - 126 = 168x - 138x 150 = 30x x = 5 Total candies initially = 3x + 8x + 10x = 21x = 21 × 5 = 105
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