Alloy Mixture Ratio Calculation
The problem asks us to find the ratio of metals A and B in a final mixture formed by melting and mixing equal quantities of two different alloys.
Alloy Details
- Alloy 1: Metals A and B are mixed in the ratio 3 : 2.
- Alloy 2: Metals A and B are mixed in the ratio 5 : 3.
- Condition: Equal quantities of the two alloys are melted and mixed.
Calculating Quantities
To simplify calculations, let's assume we take a quantity of each alloy that is a multiple of the sum of their ratio parts. The sums are (3+2=5) for Alloy 1 and (5+3=8) for Alloy 2. The least common multiple (LCM) of 5 and 8 is 40.
Let's assume we take 40 units of Alloy 1 and 40 units of Alloy 2.
Quantities in Alloy 1 (40 units)
- Metal A: \(\\frac{3}{5} \times 40 = 3 \times 8 = 24\) units.
- Metal B: \(\\frac{2}{5} \times 40 = 2 \times 8 = 16\) units.
Quantities in Alloy 2 (40 units)
- Metal A: \(\\frac{5}{8} \times 40 = 5 \times 5 = 25\) units.
- Metal B: \(\\frac{3}{8} \times 40 = 3 \times 5 = 15\) units.
Final Mixture Ratio
When these equal quantities (40 units each) are mixed, the total amounts of metals A and B in the final mixture are:
- Total Metal A = (Metal A from Alloy 1) + (Metal A from Alloy 2) = \(24 + 25 = 49\) units.
- Total Metal B = (Metal B from Alloy 1) + (Metal B from Alloy 2) = \(16 + 15 = 31\) units.
Therefore, the ratio of metals A and B in the final mixture is 49 : 31.
Similar Questions
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Important Questions from Mixture and Alligation
A bottle contains 20 litres of liquid A. 4 litres of liquid A is taken out of it d replaced by same quantity of liquid B. Again 4 litre of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture?
The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average Score increases by 2.6. What was his average score in the last ten innings?
If 1 litre of water weighs 1 kg, then how many cubic millimeters of water will weigh 0.1 gm?
A vessel full of water weighs 4o kg. If it is one-third filled, its weight becomes 20 kg. What is the weight of the empty vessel?
Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?
