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The ratio of copper and zinc in the brass is 13:7. How much zinc will there be in 100┬аkg of brass?
35 kg
14 kg
42 kg
70 kg
35 kg
Since the ratio sum is 13+7=20, each part represents 100/20=5 kg. Multiply the zinc ratio part (7) by 5 to get 35 kg.
Ratio of copper to zinc = 13:7, Total weight of brass = 100 kg
Quantity=Total├ЧSum┬аof┬аpartsPartтАЛ
Since the ratio sum is 13+7=20, each part represents 100/20=5 kg. Multiply the zinc ratio part (7) by 5 to get 35 kg.
Students often divide the total by only one of the ratio components instead of the sum of the components (13+7).
Calculate the sum of ratio parts
The ratio of copper to zinc is 13:7, so the total parts in the mixture are the sum of these values.
13+7=20
Calculate the weight per unit ratio
Divide the total weight of the brass (100 kg) by the total number of parts to find the value of one part.
100┬аkg/20=5┬аkg
Calculate the weight of zinc
Multiply the number of parts for zinc (7) by the weight per unit part (5 kg).
7├Ч5=35┬аkg
A is correct because the calculated weight of zinc is 35 kg.
This ratio method is fundamental to Mixture and Alligation problems; always define the 'sum of parts' first to simplify any ratio distribution question.
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