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An alloy of gold and silver is taken in the ratio of 1:2, and another alloy of the same metals is taken in the ratio of 2:3. How many parts of the two alloys must be taken to obtain a new alloy consisting of gold and silver that are in the ratio 3:5?
 

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Important Questions on Ratio, Proportion and Variation

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There are two quantities of oil, with the masses differing by 2 kg. The same quantity of heat, equal to 96 kcal, was imparted to each mass, and the larger mass of oil was found to be 4 degrees cooler than the smaller mass. Find the mass of oil in each of the two quantities.
 
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Calculate the weight and the percentage of zinc in the zinc-copper alloy being given that the latter's alloy with 3 kg of pure zinc contains 90 percent of zinc and with 2 kg of 90% zinc alloy contains 84% of zinc.

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Two solutions, the first of which contains0.8 kg and the second 0.6 kg of salt, were poured together and10 kg of a new salt solution were obtained. Find the weight of the first and of the second solution in the mixture if the first solution is known to contain 10 percent more of salt than the second.

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 In two alloys, the ratios of Nickel to Tin are 5:2and 3:4 (by weight). How many kilograms of the first alloy and of the second alloy should be alloyed together to obtain 28 kg of a new alloy with equal contents of nickel and tin?
 
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In two alloys, aluminium and iron are in the ratios of 4:1 and 1:3. After alloying together 10 kg of the first alloy, 16 kg of the second and several kilograms of pure aluminium, an alloy was obtained in which the ratio of aluminium to iron was 3:2. Find the weight of the new alloy?
 
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There are two alloys of gold, silver and platinum. The first alloy is known to contain 40 percent of platinum and the second alloy 26 percent of silver. The percentage of gold is the same in both alloys. Having alloyed 150 kg of the first alloy and 250 kg of the second, we get a new alloy that contains 30 percent of gold. How many kilograms of platinum is there in the new alloy?
 
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A toy weighing 24 grams of an alloy of two metals is worth 174, but if the weights of metals in alloy be interchanged, the toy would be worth 162. If the price of one metal be 8 per gram, find the price of the other metal in the alloy used to make the toy.
 
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The weight of three heaps of gold are in the ratio 5:6:7. By what fractions of themselves must the first two be increased so that the ratio of the weights may be changed to 7:6:5?