1. There were 22 chocolates. It was distributed between J,K & L. The ratio of chocos between J & K was 2:3 whereas ratio of K & L was 1:2. Find share of each.How many chocos each got?
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Answer:
The chocolates with J, K and L are 4, 6 and 12 respectively.
Step-by-step explanation:
Given: J:K :: 2:3, and K:L :: 1:2
First, we need to get the two ratios given together, and convert it into a single ratio correlated to each constant.
If K = 3, then
J = 2, and
L = 3 x 2 = 6
(Side Note: We chose to let a value of K because it was common in both of the given ratios)
∴ The ratio of J, K and L is 2:3:6
Let the ratio constant be x.
∴ The chocolates with J, K and L will be 2x, 3x and 6x
A/q
=> 2x + 3x + 6x = 22
=> 11x = 22
=> x = 2
2x = 2 x 2 = 4
3x = 3 x 2 = 6
6x = 6 x 2 = 12
∴ The chocolates with J, K and L are 4, 6 and 12 respectively.
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