Question

If 2kg of metal, of which one third is zinc and the rest is copper, is mixed with 3kg of metal, of which one fourth is zinc and the rest is copper, what is the ratio of zinc to copper in the mixture?

• A. 17:12
• B. 43:12
• C. 17:43
• D. 7:12
• E. 9:43

Answer 1

The correct option is C

17:43

$\text{Quantity of zinc in the mixture,}=2\left(\frac{1}{3}\right)+3\left(\frac{1}{4}\right)=\frac{2}{3}+\frac{3}{4}=\frac{8+9}{12}=\frac{17}{12}\text{Quantity of copper in the metal}=3+2-\frac{17}{12}=5-\frac{17}{12}=\frac{43}{12}\therefore \text{ratio}=\frac{17}{12}:\frac{43}{12}=17:43$