Helen and Ivan had the same number of coins. Helen had a number of 50-cent coins, and 64 20-cent coins. These coins had a mass of 1.134kg. Ivan had a number of 50-cent coins and 104 20-cent coins.(a) Who has more money in coins and by how much?(b) given that each 50-cent coin is 2.7g more heavier than a 20-cent coin, what is the mass of Ivan's coins in kilograms?
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Question:
Helen and Ivan had the same number of coins. Helen had a number of 50-cent coins, and 64 20-cent coins. These coins had a mass of 1.134kg. Ivan had a number of 50-cent coins and 104 20-cent coins.(a) Who has more money in coins and by how much?(b) given that each 50-cent coin is 2.7g more heavier than a 20-cent coin, what is the mass of Ivan's coins in kilograms?
Answers
Answer:Step-by-step explanation:Let H stand for the total number of Helen's coins and I for the total number of Ivan's coins.We are told that H = IWe also know that Helen has 64 20-cent coins. The total mass of her coins, H, is 1.134kg.Ivan has 104 20-cent coins. We are told that both have a non-defined number of 50-cent coins.(a) Who has more money in coins and by how much?Since both have an equal number of coins, but Ivan has more 20-cent coins than Helen, Helen must therefore have a greater number of 50-cent coins, making her the richest of the two.Helen has (H - 64) 50-cent coinsI has (I - 104) 50-cent coinsSince H=I, the ratio of Helen's to Ivan's 50-cent coins is (H-64)/(H-104)But it is here that I don't know how to calculate the total value of coins, without more information. All I know is that both have a known number of 20-cent coins, but I don't see an upper limit to the number of 50-cent coins.Let's assume both had 200 coins. The breakdown is shown in the attachment.Sorry, I may see the answer tomorrow, but I need to leave now.
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