some pens are divided among A,B,C and D.A gets the same number of pens as D gets.if A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2:3 ,then find the number of pens that D gets
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Thus D gets 75 pens.
Explanation:
We are given that:
- Number of pens A have = 25 more than D
- Ratio of number of pens between B and C = 2 : 3
Solution:
Let the number of pens that A, B, C, and D get be a, b, c, and d respectively.
Ratio between A and B:
a : b = 2 : 1
a = c + 25
Ratio between B and C:
b : c = 2 : 3
a : b : c : d = 4 : 2 : 3 : 3
a,d get 4 p, 3 p pens
4 p - 3 p = 25
p = 25
D gets 3 p = 3 x 25 = 75 pens
Thus D gets 75 pens.
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