an alloy contains 20% copper 40% zinc and the rest nickel find the grams the quanitity of each of the contents in 1 kg of alloy.

Answer

To solve the problem of finding the quantity of each component in a 1 kg alloy that contains 20% copper, 40% zinc, and the rest nickel, we can follow these steps:

### Step 1: Understand the percentages
The alloy consists of:
- Copper: 20%
- Zinc: 40%
- Nickel: The remaining percentage

### Step 2: Calculate the percentage of Nickel
To find the percentage of nickel, we subtract the percentages of copper and zinc from 100%:
\[ \text{Nickel percentage} = 100\% - (20\% + 40\%) = 100\% - 60\% = 40\% \]

### Step 3: Convert the percentages to grams
Since the total weight of the alloy is 1 kg (which is 1000 grams), we can calculate the grams of each component.

#### For Copper:
\[ \text{Copper} = \frac{20}{100} \times 1000 \text{ grams} = 200 \text{ grams} \]

#### For Zinc:
\[ \text{Zinc} = \frac{40}{100} \times 1000 \text{ grams} = 400 \text{ grams} \]

#### For Nickel:
\[ \text{Nickel} = \frac{40}{100} \times 1000 \text{ grams} = 400 \text{ grams} \]

### Step 4: Summarize the results
Now we can summarize the quantities of each component in the alloy:
- Copper: 200 grams
- Zinc: 400 grams
- Nickel: 400 grams

### Final Answer:
- Copper: 200 grams
- Zinc: 400 grams
- Nickel: 400 grams

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