A 50-cent coin is composed of copper and nickel in the ratio of 3:1.A 50-cent coin weighs 15.55 grams.How many grams of copper are in a 50-cent coin?A. 3.8875 gB. 5.183 gC. 7.775 gD. 11.6625 g
Question
A 50-cent coin is composed of copper and nickel in the ratio of 3:1.A 50-cent coin weighs 15.55 grams.How many grams of copper are in a 50-cent coin?A. 3.8875 gB. 5.183 gC. 7.775 gD. 11.6625 g
Solution
To solve this problem, we need to understand that the ratio given (3:1) represents the proportion of copper to nickel in the coin.
Step 1: Add the two parts of the ratio together. 3 (for copper) + 1 (for nickel) = 4 total parts.
Step 2: Divide the total weight of the coin by the total number of parts to find the weight of one part. 15.55 grams / 4 parts = 3.8875 grams per part.
Step 3: Multiply the weight of one part by the number of parts that represent copper (which is 3). 3.8875 grams per part * 3 parts = 11.6625 grams.
So, there are 11.6625 grams of copper in a 50-cent coin. The correct answer is D. 11.6625 g.
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