Question

4 kg metal to 500g of plastic simplest ratio

Answer 1

Answer: 8:1

Explanation:

To find the simplest ratio of 4 kg of metal to 500g of plastic, we need to convert both quantities to the same unit of measurement. Let's convert 4 kg to grams:

• 4 kg = 4000 g

Now we have 4000 g of metal and 500 g of plastic. To simplify the ratio, we can divide both quantities by their greatest common factor (GCF), which is 500:

• 4000 g ÷ 500 = 8

• 500 g ÷ 500 = 1

Therefore, the simplest ratio of 4 kg of metal to 500g of plastic is 8:1.

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Answer 2

SIMPLEST RATIO

Answer:

The total weight of metal and plastic in the ratio 8:1 is indeed 4.5 kg.

Solution and Explanation:

The total weight of metal and plastic is:

• 
  `\large\rm{4\: kg + 0.5\: kg = 4.5\: kg}`

The simplest ratio of metal to plastic is found by dividing both quantities by their greatest common factor.

The greatest common factor of 4 kg and 0.5 kg is 0.5 kg. Dividing both quantities by 0.5 kg gives:

• 
  `\large\rm{Metal:Plastic = 8:1}`

`\therefore` The simplest ratio of metal to plastic is 8:1.

To check, we can verify that:

• 
  `\large\rm{(8)/(9) \cdot 4.5\: kg \approx 4\: kg}` (for metal)

• 
  `\large\rm{(1)/(9) \cdot 4.5\: kg \approx 0.5\: kg}` (for plastic)

So the total weight of metal and plastic in the ratio 8:1 is indeed 4.5 kg.