The ratio of spirit wnd water in a siprit solution is 5:2. If 4 litres of water is added to the solution, the ratio of spirit to water is 3:2. Find the method to find the Quantity of spirit present in the new solution ?( Note :- Answer is 15 litres , but how ? )
Answers 2
Answer:
According to the question,
In vessels A,
Spirit = 5 × 2/5 = 2
Water = 5 × 3/5 = 3
In vessels B,
Spirit = 3 × 3/7= 9/7
Water = 3 × 4/7 = 12/7
In vessels C,
Spirit = 2 × 4/9 = 8/9
Water = 2 × 5/9 = 10/9
Total spirit = 2 + 9/7 + 8/9 = 263/63
Total water = 3 + 12/7 + 10/9 = 367/63
Ratio (in final solution) = S : W= 263/63 : 367/63 = 263 : 367
Now, let the spirit in solution be 263x litres
Let the water in solution be 367x litres
Then, final solution = 263x + 367x = 630x
According to the question,
630x = 1.26
⇒ x = 1.26/630 = 0.002 litre
Then, water = 263x = 263 × 0.002 = 0.526
Spirit = 630x = 630 × 0.002 = 0.734
318 ml (318/1000 = 0.318) of water is added,
Then, 0.318 + 0.734 = 1.052
The ratio of spirit and water in the final solution = 1.052 : 0.526 = 1 : 2
∴ The ratio of spirit and water in the final solution is 1 : 2.
Step-by-step explanation:
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Author:
roccobjwl
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Answer:
According to Question,
2 × 3/7 + 3 × 5/14 : 2 × 4/7 + 3 × 9/14
= 6/7 + 15/14 : 8/7 + 27/14
= (27)/14 : (43)/14
= 27 : 43
Ratio of water and sprit in new vessel = 43 : 27
Detailed Solution :
Ratio of spirit and water in vessel A = 3 : 4 --- (1)
Ratio of spirit and water in vessel B = 5 : 9 --- (2)
Multiply by 2 × 2 in equation (1) and multiply by 3 in equation (2)
Ratio of water and sprit in new vessel = (16 + 27) : (12 + 15) = 43 : 27
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Author:
ericoboyd
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