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Samantha has a coin collection. She keeps of the coins in her box, which is of the collection. How many total coins are in her collection?Answer:
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Q. Samantha has a coin collection. She keeps of the coins in her box, which is of the collection. How many total coins are in her collection?Answer:
- Understand Relationship: Understand the relationship between the part and the whole in percentage problems.Samantha has coins, which represent of her total collection. We need to find the total number of coins in her collection.
- Set Up Equation: Set up the equation based on the percentage formula: Percent (as a decimal) Whole = Part.Here, the part is coins, and the percent is (or as a decimal). Let the total number of coins be represented by ''.The equation is: .
- Solve for 'x': Solve for 'x' by isolating it on one side of the equation.Divide both sides of the equation by to find the value of 'x'..
- Perform Division: Perform the division to find the total number of coins. .
- Verify Solution: Verify the solution by checking if of the total number of coins equals . of is .
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