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Esmerelda bought a bag of jelly beans. There were green jelly beans, which made up of all the jelly beans in the bag. How many jelly beans were in the bag?
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Q. Esmerelda bought a bag of jelly beans. There were green jelly beans, which made up of all the jelly beans in the bag. How many jelly beans were in the bag?
- Understanding the relationship: Understand the relationship between the part, whole, and percentage.The problem states that green jelly beans make up of the total jelly beans. We can use the percent formula: .Here, the is the number of green jelly beans (), and the is or . We need to find the , which is the total number of jelly beans.
- Setting up the equation: Set up the equation to find the total number of jelly beans.Using the percent formula, we have:Let's denote the Whole (total number of jelly beans) as ''.So, the equation becomes:
- Solving for 'W': Solve for 'W' by isolating it on one side of the equation.To find 'W', we divide both sides of the equation by :
- Performing the division: Perform the division to find the total number of jelly beans.
- Verifying the solution: Verify that the solution makes sense.If there are jelly beans in total and are green, then the green jelly beans should indeed make up of the total. To check:Percentage of green jelly beans Percentage of green jelly beans Percentage of green jelly beans This confirms that our solution is correct.
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