https://file.aiquickdraw.com/mathbot/file/1729180463010tl9tbnt9.jpg

Let's break down the problem described in the image.

Kimberly bought:
- 3 lollipops
- 5 gumballs
- She spent a total of $22

This gives us the equation:  
\[ 3l + 5g = 22 \]

Autumn bought:
- 4 lollipops
- 5 gumballs
- She spent a total of $26

This gives us the equation:  
\[ 4l + 5g = 26 \]

Now, let's identify which option correctly represents this system of equations.

Option **C** is the correct one, as it shows:
\[
3l + 5g = 22
\]
and
\[
4l + 5g = 26
\]

This matches the problem description exactly.

Would you like to go over the solution in more detail or explore related questions?

### Related Questions:
1. How can you solve this system of equations using substitution?
2. How can you solve this system of equations using elimination?
3. What would change if Autumn bought 6 gumballs instead of 5?
4. How do you interpret the solution for $ l $ and $ g $ in real-world terms?
5. How would the equations change if Kimberly had bought 4 gumballs instead?

### Tip:
To solve systems of linear equations, elimination is often quicker if one variable has the same coefficient in both equations, as in this problem.

Kimberly visited a candy store and spent $22 buying 3 lollipops and 5 gumballs. Autumn spent $26 buying 4 lollipops and 5 gumballs. Which system of equations can be used to determine the price per lollipop, l, and the price of gumballs, g?

Learn how to solve a system of linear equations representing the prices of lollipops and gumballs based on the purchases made by Kimberly and Autumn. This problem covers key algebraic concepts, including linear equations and solving systems using substitution or elimination. Suitable for students in Grades 6-8.

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