Subjects algebra

Glass Plastic Ratio 0F4F37

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1. **State the problem:** We need to find the ratio of glass to plastic in a recycling bin where there are 4 kg of glass and 500 g of plastic. 2. **Convert units to be consistent:** Since 1 kg = 1000 g, convert 4 kg of glass to grams: $$4\ \text{kg} = 4 \times 1000 = 4000\ \text{g}$$ 3. **Write the ratio:** The ratio of glass to plastic is: $$\frac{4000\ \text{g}}{500\ \text{g}}$$ 4. **Simplify the ratio:** Divide numerator and denominator by 500: $$\frac{\cancel{4000}^{8} \text{g}}{\cancel{500}^{1} \text{g}} = \frac{8}{1}$$ 5. **Interpret the result:** The simplest form of the ratio of glass to plastic is $8:1$. This means there is 8 times as much glass as plastic in the bin.