To find the ratio of copper to zinc in the alloy, follow these steps:
1. Identify the given quantities:
- The amount of copper in the alloy is 120 grams.
- The amount of zinc in the alloy is 150 grams.
2. Express the ratio of copper to zinc:
- The ratio is written as the fraction of the quantity of copper to the quantity of zinc.
3. Calculate the ratio:
- The ratio of copper to zinc is [tex]\( \frac{120 \text{ g}}{150 \text{ g}} \)[/tex].
4. Simplify the fraction:
- To simplify the fraction, divide both the numerator (120) and the denominator (150) by their greatest common divisor (GCD).
- The GCD of 120 and 150 is 30.
- Dividing the numerator and the denominator by 30:
[tex]\[ \frac{120 \div 30}{150 \div 30} = \frac{4}{5} \][/tex]
This means the ratio of copper to zinc in the alloy is [tex]\( \frac{4}{5} \)[/tex], which can also be expressed as 0.8. This indicates that for every 5 parts of the alloy, 4 parts are copper and 1 part is zinc.
