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# A 20 kg metal bar made of alloy of tin and silver lost 2 kg

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Director
Joined: 11 Jun 2007
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A 20 kg metal bar made of alloy of tin and silver lost 2 kg [#permalink]

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03 Nov 2007, 16:03
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A 20 kg metal bar made of alloy of tin and silver lost 2 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?

1/4
2/5
1/2
3/5
2/3

PLEASE explain your approach.. i know the answer and have an explanation but want to see if there is a better way of solving this quickly! thanks...
Senior Manager
Joined: 04 Jun 2007
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03 Nov 2007, 16:24
beckee529 wrote:
A 20 kg metal bar made of alloy of tin and silver lost 2 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?

1/4
2/5
1/2
3/5
2/3

PLEASE explain your approach.. i know the answer and have an explanation but want to see if there is a better way of solving this quickly! thanks...

T+S = 20
T= 20-S
1kg of tin loses 0.1375
1kg of silver loses 0.075
hence, T(0.1375)+S(0.075)= 2
(20-S)(0.1375)+ 0.075S= 2
2.75-0.1375S+0.075S=2
0.75=0.0625S
S= 12
T= 8
T:S= 8:12= 2:3 (E)
Re: PS metal bar   [#permalink] 03 Nov 2007, 16:24
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