This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
Maths multi denomination examples
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Answer
60 Kina
Here are some examples of math problems involving different denominations, solved step-by-step.
Example 1: Adding different currencies
A person has 50 Kina, 25 Toea, and another 10 Kina, 75 Toea. How much money do they have in total?
Step 1: Add the Kina amounts together. 50 Kina + 10 Kina = 60 Kina
Step 2: Add the Toea amounts together. 25 Toea + 75 Toea = 100 Toea
Step 3: Convert Toea to Kina. Since 100 Toea = 1 Kina, 100 Toea is equal to 1 Kina.
Step 4: Add the Kina from Step 1 and Step 3. 60 Kina + 1 Kina = 61 Kina
Answer: The person has a total of 61 Kina.
Example 2: Calculating change from a purchase
A person buys a shirt for 35 Kina and 50 Toea. They pay with a 50 Kina note. How much change should they receive?
Step 1: Subtract the Toea amount of the shirt from 1 Kina (100 Toea) to find out how much more Toea is needed to make a full Kina. 100 Toea - 50 Toea = 50 Toea. This means the person needs 50 Toea more to reach the next Kina.
Step 2: Subtract 1 Kina from the amount paid (50 Kina) because the shirt cost more than 35 Kina. 50 Kina - 1 Kina = 49 Kina. This is the amount the person has left after accounting for the full Kina part of the shirt's price.
Step 3: Subtract the Kina part of the shirt's price from the amount calculated in Step 2. 49 Kina - 35 Kina = 14 Kina. This is the Kina part of the change.
Step 4: Combine the Kina change (from Step 3) and the Toea change (from Step 1). 14 Kina + 50 Toea = 14 Kina and 50 Toea.
Answer: The person should receive 14 Kina and 50 Toea in change.
Example 3: Dividing money equally
Three friends want to share 15 Kina and 75 Toea equally. How much money does each friend get?
Step 1: Divide the Kina amount by the number of friends. 15 Kina / 3 = 5 Kina. Each friend gets 5 Kina.
Step 2: Divide the Toea amount by the number of friends. 75 Toea / 3 = 25 Toea. Each friend gets 25 Toea.
Step 3: Combine the Kina and Toea amounts for each friend. 5 Kina + 25 Toea = 5 Kina and 25 Toea.
Answer: Each friend gets 5 Kina and 25 Toea.
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Adding different currencies A person has 50 Kina, 25 Toea, and another 10 Kina, 75 Toea.