### Problem Statement: Distributing LollipopsGoo-Young has lollipops to distribute among goodie bags. When Goo-Young tries to put $ L $ lollipops in each of 6 goodie bags, she is 1 lollipop short. Write an expression for the total number of lollipops Goo-Young has in terms of $ L $. Explain briefly.### SolutionTo determine the expression for the total number of lollipops Goo-Young has, consider the following:1. Goo-Young tries to put $ L $ lollipops in each of her 6 goodie bags.2. She is 1 lollipop short, meaning she can put one fewer lollipop than what would be needed to fill all bags completely.Mathematically,- If each of the 6 goodie bags is filled with $ L $ lollipops, the number required would be $ 6L $.- Since she is 1 lollipop short, the actual number of lollipops she has is $ 6L - 1 $.Therefore, in terms of $ L $, the total number of lollipops Goo-Young has can be expressed as:\[ \text{Total lollipops} = 6L - 1 \]### Explanation- $ 6L $ represents the total number of lollipops needed to fill the 6 goodie bags completely.- Subtracting 1 from $ 6L $ accounts for the 1 lollipop she is short.

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Goo-Young has lollipops to distribute among goodie bags. When Goo-Young tries to put lollipops in each of 6 goodie bags, she is 1 lollipop short. Write an expression for the total number of lollipops Goo-Yung has in terms of L. Explain briefly.

Goo-Young has lollipops to distribute among goodie bags. When Goo-Young tries to put lollipops in each of 6 goodie bags, she is 1 lollipop short. Write an expression for the total number of lollipops Goo-Yung has in terms of L. Explain briefly.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### Problem Statement: Distributing Lollipops

Goo-Young has lollipops to distribute among goodie bags. When Goo-Young tries to put $ L $ lollipops in each of 6 goodie bags, she is 1 lollipop short. Write an expression for the total number of lollipops Goo-Young has in terms of $ L $. Explain briefly.

### Solution

To determine the expression for the total number of lollipops Goo-Young has, consider the following:

1. Goo-Young tries to put $ L $ lollipops in each of her 6 goodie bags.
2. She is 1 lollipop short, meaning she can put one fewer lollipop than what would be needed to fill all bags completely.

Mathematically,
- If each of the 6 goodie bags is filled with $ L $ lollipops, the number required would be $ 6L $.
- Since she is 1 lollipop short, the actual number of lollipops she has is $ 6L - 1 $.

Therefore, in terms of $ L $, the total number of lollipops Goo-Young has can be expressed as:

\[ \text{Total lollipops} = 6L - 1 \]

### Explanation
- $ 6L $ represents the total number of lollipops needed to fill the 6 goodie bags completely.
- Subtracting 1 from $ 6L $ accounts for the 1 lollipop she is short.

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