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The problem states that Linda wants to buy 2 sweaters and a pair of sunglasses, where the sunglasses cost $12, and each sweater costs the same amount. We are tasked with finding an equation that represents the total cost of her purchases.

Let:
- $ s $ be the cost of one sweater.
- The total cost of her purchases is represented by $ C $.

Given:
- The cost of two sweaters is $ 2s $.
- The cost of the sunglasses is $12.

Thus, the total cost $ C $ of the two sweaters and the sunglasses is:

\[
C = 2s + 12
\]

This matches the second equation option in the image: 
\[
2s + 12 = C
\]

Would you like further details or clarification on how this equation was derived? Here are 5 related questions to expand your understanding:

1. What if Linda bought 3 sweaters instead of 2? How would the equation change?
2. If the total cost $ C $ was given as $40, how could you solve for the cost of one sweater?
3. How does changing the price of the sunglasses affect the equation?
4. Can you express the equation in terms of $ s $ (cost of one sweater) instead of $ C $?
5. What if the sweaters were on sale, and each sweater cost 20% less? How would the equation change?

**Tip**: When setting up equations for word problems, carefully identify what each variable represents and ensure each term accounts for a specific part of the total cost or value.

Linda wants to buy 2 sweaters and a pair of sunglasses at Wild Orchids. Each sweater costs the same amount. The sunglasses cost $12. Which equation can be used to find the total cost of her purchases?

Learn how to use linear equations to solve for the total cost of purchases. This example involves two sweaters and sunglasses, demonstrating a simple application of algebraic equations in daily life shopping scenarios. Suitable for Grades 6-8.

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