Concept explainers
To find:
How many coins were in the jar?
Answer to Problem 3PSP
There could be 9, 15, or 21 coins in the jar.
Explanation of Solution
Given:
Your uncle gives you and your sister a jar of coins from around the world. You divide them equally and have 1 coin left over. Then your mother tells you to share the coins with your cousins as well. After you divide the coins equally among the three of you, there are no coins left over.
Calculation:
Since one coin is left after dividing the coins between two people, so the number of coins will be an odd number.
Since there is no coin left after dividing the coins between 3 people, so the number of coins will be divisible by 3.
The number of coins will be an odd number divisible by 3 like 9, 15, 21.
Therefore, there could be 9, 15, or 21 coins in the jar.
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