If 2 kg of metal, of which 1/3 is zine and the rest is copper , be mixed with 3 kg of metal, of which 1/4 is zinc and the rest is copper , then what will be the

If 2 kg of metal, of which 1/3 is zine and the rest is copper , be mixed with 3 kg of metal, of which 1/4 is zinc and the rest is copper , then what will be the ratio of zinc to copper in the mixture?

If 2 kg of metal, of which 1/3 is zine and the rest is copper , be mixed with 3 kg of metal, of which 1/4 is zinc and the rest is copper , then what will be the ratio of zinc to copper in the mixture? ?

Created: 1 year ago | Updated: 1 week ago | Created By:

Ahsanur Rahman

17 : 43

13 : 42

19 : 43

15 : 42

0 18

Institution: SONALI BANK LTD Exam: অফিসার (মুক্তিযোদ্ধা) ০৮.০২.২০১৯ ||
Topic: Mathematics (সাধারণ গণিত) Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

Let's analyze the problem:

Metal 1: We have 2 kg of metal, with 1/3 being zinc. So, zinc quantity = (1/3)*2 kg = 2/3 kg. The remaining (2 - 2/3) kg is copper.
Metal 2: We have 3 kg of metal, with 1/4 being zinc. So, zinc quantity = (1/4)*3 kg = 3/4 kg. The remaining (3 - 3/4) kg is copper.
Total Metal: We combine both metals, resulting in a total of 2 kg + 3 kg = 5 kg.
Total Zinc: Add the zinc quantities from both metals: (2/3 kg) + (3/4 kg) = (8/12 kg) + (9/12 kg) = 17/12 kg.
Total Copper: Since the remaining parts were copper in both metals, add their quantities: [(2 kg - 2/3 kg)] + [(3 kg - 3/4 kg)] = (4/3 kg) + (9/4 kg) = (16/12 kg) + (27/12 kg) = 43/12 kg.
Ratio of Zinc to Copper: Now, express the ratio: Zinc : Copper = 17/12 kg : 43/12 kg.

Since they have the same denominator (12 kg), we can simply compare the numerators: Zinc : Copper = 17 : 43.

Therefore, the ratio of zinc to copper in the mixture is 17:43.

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If 2 kg of metal, of which 1/3 is zine and the rest is copper , be mixed with 3 kg of metal, of which 1/4 is zinc and the rest is copper , then what will be the ratio of zinc to copper in the mixture? ?

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