Esmerelda bought a bag of jelly beans. There were 24 green jelly beans, which made up 8% of all the jelly beans in the bag. How many jelly beans were in the bag?

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Esmerelda bought a bag of jelly beans. There were 24 green jelly beans, which made up  8% of all the jelly beans in the bag. How many jelly beans were in the bag?

Bytelearn · Accepted Answer

Understanding the relationship: Understand the relationship between the part, whole, and percentage. The problem states that 24 green jelly beans make up 8% of the total jelly beans. We can use the percent formula: Part = Percent (as a decimal) × Whole. Here, the Part is the number of green jelly beans (24), and the Percent (as a decimal) is 8% or 0.08. We need to find the Whole, 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: 24 = 0.08 × Whole Let's denote the Whole (total number of jelly beans) as 'W'. So, the equation becomes: 24 = 0.08 × WSolving 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 0.08: W = 24 / 0.08Performing the division: Perform the division to find the total number of jelly beans. W = 24 / 0.08 W = 300Verifying the solution: Verify that the solution makes sense. If there are 300 jelly beans in total and 24 are green, then the green jelly beans should indeed make up 8% of the total. To check: Percentage of green jelly beans = (Number of green jelly beans / Total number of jelly beans) × 100 Percentage of green jelly beans = (24 / 300) × 100 Percentage of green jelly beans = 8% This confirms that our solution is correct.

Esmerelda bought a bag of jelly beans. There were $24$ green jelly beans, which made up $8 \%$ of all the jelly beans in the bag. How many jelly beans were in the bag?

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Esmerelda bought a bag of jelly beans. There were 242424 green jelly beans, which made up 8% 8 \% 8% of all the jelly beans in the bag. How many jelly beans were in the bag?

Esmerelda bought a bag of jelly beans. There were $24$ green jelly beans, which made up $8 \%$ of all the jelly beans in the bag. How many jelly beans were in the bag?