Final answer:
To find the amount of gold in the alloy, divide the weight of the gold in the ratio by the total proportion and multiply by the total weight of the alloy.
Step-by-step explanation:
To find the amount of gold in the alloy, we need to determine how much gold corresponds to the given ratio of 6:4. First, we need to find the total proportion of the ratio: 6 + 4 = 10. Next, we divide the weight of the gold in the alloy by the total proportion of the ratio and multiply it by 200 grams to find the amount of gold in the alloy: (6/10) * 200 = 120 grams.