The ratio of two metals, iron and nickel, present in an alloy were shown to be 4 : 3 respectively. If the alloy has a weight of 50 g, work out the weights of the two metals.
Question
The ratio of two metals, iron and nickel, present in an alloy were shown to be 4 : 3 respectively. If the alloy has a weight of 50 g, work out the weights of the two metals.
Solution
Step 1: Understand the ratio The ratio of iron to nickel in the alloy is 4:3. This means for every 4 parts of iron, there are 3 parts of nickel.
Step 2: Calculate the total parts in the ratio The total parts in the ratio are 4 (for iron) + 3 (for nickel) = 7 parts.
Step 3: Determine the weight of each part The total weight of the alloy is 50g. So, each part in the ratio weighs 50g ÷ 7 = approximately 7.14g.
Step 4: Calculate the weight of each metal
- The weight of iron is 4 parts × 7.14g/part = approximately 28.57g.
- The weight of nickel is 3 parts × 7.14g/part = approximately 21.43g.
So, the alloy contains approximately 28.57g of iron and 21.43g of nickel.
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