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2. At the bake sale, Abby sold 8 more cupcakes than Carly. Abby sold 36 cupcakes. How many cupcakes did Carly sell? Define a variable and write an equation for this real-world problem. Variable: Eguation:

Ask by Pritchard Mills. in the United States
Jan 23,2025

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Answer

**Variable:** Let \( C \) represent the number of cupcakes Carly sold. **Equation:** \[ C + 8 = 36 \]

Solution

**Variable:** Let \( C \) represent the number of cupcakes Carly sold. **Equation:** \[ C + 8 = 36 \] **Explanation:** - **Variable Definition:** Let \( C \) be the number of cupcakes Carly sold. - **Setting Up the Equation:** According to the problem, Abby sold 8 more cupcakes than Carly. Since Abby sold 36 cupcakes, the equation representing this relationship is: \[ \text{Carly's cupcakes} + 8 = \text{Abby's cupcakes} \] Substituting the known value: \[ C + 8 = 36 \] **Solving the Equation (Optional):** To find out how many cupcakes Carly sold, solve for \( C \): \[ C + 8 = 36 \\ C = 36 - 8 \\ C = 28 \] So, Carly sold **28 cupcakes**.

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The Deep Dive

Let \( C \) represent the number of cupcakes Carly sold. Since Abby sold 8 more cupcakes than Carly and she sold 36 cupcakes, we can express this relationship with the equation: \[ C + 8 = 36 \] Now, to find how many cupcakes Carly sold, we can solve the equation: \[ C = 36 - 8 \] \[ C = 28 \] So, Carly sold 28 cupcakes. To add a bit of flavor to this cupcake dilemma, did you know that bake sales have been a staple of community fundraising since the 1920s? They originated as a delicious way for churches and schools to raise funds for projects or help families in need, blending indulgence with generosity! As you tackle similar math problems in the future, remember to clearly define your variables. A common mistake is to rush the setup; take a moment to understand what’s being asked and the relationships between the entities involved. Clear definitions will make equations a piece of cake!

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