Question : Two mixtures A and B have the following compositions: Mixture A has copper and tin in a ratio of 1 : 2 Mixture B has copper and tin in a ratio of 1 : 3 If equal quantities of mixtures A and B are used for producing mixture C, then find the ratio of copper and tin in mixture C.
Option 1: 2 : 5
Option 2: 1 : 5
Option 3: 7 : 17
Option 4: 7 : 12
Correct Answer: 7 : 17
Solution : Assume that the quantities of copper and tin in mixtures A and B are such that the total quantity of each metal is x units copper and y units tin. Mixture A: Copper = $\frac{x}{3}$ unit Tin = $\frac{2x}{3}$ unit Mixture B: Copper = $\frac{x}{4}$ unit Tin = $\frac{3x}{4}$ unit Now, if equal quantities of A and B are mixed to form C, we can add the corresponding quantities of copper and tin and can add total tin and total copper. Mixture C: Copper = ($\frac{x}{3}$ unit + $\frac{x}{4}$ unit) = $\frac{7x}{12}$ unit Tin = ($\frac{2x}{3}$ unit +$\frac{3x}{4}$ unit) = $\frac{17x}{12}$ unit So, the ratio of copper to tin in mixture C $=\frac{\frac{7x}{12}}{\frac{17x}{12}}=\frac{7}{17}$ Hence, the correct answer is 7 : 17.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : The ratio of acid and water in the three samples is 2 : 1, 3 : 2, and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of acid and water in the mixture is:
Question : Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of a mixture of spirit and water. In the 1st container, the ratio of spirit and water is 4 : 1, in the second container the ratio is 11 : 4 and in the 3rd container the ratio is 7 : 3. All three mixtures are
Question : In a mixture of 25 litres, the ratio of acid to water is 4 : 1. Another 3 litres of water is added. The ratio of acid to water in the new mixture is:
Question : A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1. 15 litres of milk is added to the canister. The new ratio of the mixture is:
Question : If the sum of two quantities is equal to three times their difference, then the ratio of the two quantities is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile