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There are two alloys, A and B, of copper and zinc. The ratio (by weigh
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08 Dec 2021, 03:45
08 Dec 2021, 03:45
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There are two alloys, A and B, of copper and zinc. The ratio (by weight) of copper and zinc in alloy A is 8 : 1 and that in alloy B is 2 : 7. It is found that, if alloy A and alloy B are mixed in a certain ratio, the weights of copper and zinc in the resultant alloy are also in that ratio. What is that ratio?
(A) 4 : 3
(B) 3 : 2
(C) 5 : 3
(D) 2 : 1
(E) 3 : 1
Are You Up For the Challenge: 700 Level Questions
(A) 4 : 3
(B) 3 : 2
(C) 5 : 3
(D) 2 : 1
(E) 3 : 1
Are You Up For the Challenge: 700 Level Questions
Re: There are two alloys, A and B, of copper and zinc. The ratio (by weigh
[#permalink]
08 Dec 2021, 04:51
08 Dec 2021, 04:51
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Let, the ratio is K:1
SO, Copper : Zinc = 8k+2 : k+7
Now,
8k+2/k+7= k/1
solve for k, k=2
so the ratio is k:1=2:1
SO, Copper : Zinc = 8k+2 : k+7
Now,
8k+2/k+7= k/1
solve for k, k=2
so the ratio is k:1=2:1
Re: There are two alloys, A and B, of copper and zinc. The ratio (by weigh
[#permalink]
09 Dec 2021, 05:39
09 Dec 2021, 05:39
1
Kudos
HEPENNYPECKER, IF ANY OF YOU CAN MAKE ME UNDERSTAND WHERE AM I GOING WRONG
IF THERE'S AN ALLOY OF 9 GMS THEN A WILL HAVE 8GMS - COPPER AND 1GM - ZINC
B WILL HAVE 2GMS - COPPER AND 7 GMS - ZINC
RATIO OF MIXTURE (WHEN MIXED) A:B = COPPER:ZINC, IF I AM TAKING MIXTURE A:B IN 2:1
THEN TWICE OF A = 2(8:1) SIMILARLY 3:1 IS ALSO SATISFIED AS 3(8:1)
+ 1B = (2:7) (2:7)
= 18:9 = 26:10
IF THERE'S AN ALLOY OF 9 GMS THEN A WILL HAVE 8GMS - COPPER AND 1GM - ZINC
B WILL HAVE 2GMS - COPPER AND 7 GMS - ZINC
RATIO OF MIXTURE (WHEN MIXED) A:B = COPPER:ZINC, IF I AM TAKING MIXTURE A:B IN 2:1
THEN TWICE OF A = 2(8:1) SIMILARLY 3:1 IS ALSO SATISFIED AS 3(8:1)
+ 1B = (2:7) (2:7)
= 18:9 = 26:10
