Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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?

Sagot :

rspill6

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 = I

We 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 coins

I has (I - 104) 50-cent coins

Since 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.

View image rspill6
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.