Alice and Mary are two sisters who collect stamps as a hobby and have a total collection in the ratio 6:12, respectively. Alice gave some of her stamps to Mary and the ratio of the total collection of stamps changed to In the given context, determine the fraction of stamps that Lia gave to Lina from her original collection. O 1/5 3/5 4/5 2/5
Answers
Answered by
28
Step-by-step explanation:
ऐलिस और मैरी दो बहनें हैं जो शौक के रूप में टिकटों का संग्रह करती हैं और उनका कुल संग्रह क्रमशः 6:12 के अनुपात में है। ऐलिस ने अपने कुछ डाक टिकट मैरी को दिए और . के कुल संग्रह का अनुपात
Answered by
2
A = 4, M = 8, x = 3
Explanation:
Let Alice be A and Mary be M
- Given initial ratio= A:M::6:12, Alice gives some to mary, new ratio = 1:5
Let the number of stamps given by Alice to Mary be x
- Therefore new ratio = (A-x):(M+x)
- We can therefore form the equations
- 12A - 6M = 0
- 5(A-x) - (M+x) = 0, which becomes 5A - M -4x =0
- Therefore upon solving the two equations we get A = 4, M = 8, x = 3
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