Question

1. A pirate finds 12 gold coins on an abandoned ship. Yet, he is worried that some of the coins may be counterfeit. He knows that counterfeit coins weigh less than real, gold coins, so he decides to weigh them. He weighs all 12 coins on a scale and finds that together they weigh 190 grams. He removes one coin and finds that the remaining coins weigh 173.5 grams. He removes a second and coin and now finds that together they weigh 159 grams. Suddenly, the scale breaks and stops working. However, luckily the pirate has his math skills to help him use systems of equations to find out how many coins are counterfeit, if any. Find the system the pirate used and solve.

2. After searching his wrecked ship, the pirate finds a small chest with 52 silver and bronze coins. In today’s money, each bronze coin is worth $10,000 and each silver coin is worth $25,000. The findings in the chest are worth $775,000. How many of each coin were in the chest?

Answer 1

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