Caeli sells cakes at Zoe's bakery. She earns $350 a week plus 35 per cake she sells. if she earned $630 last week, how many cakes did she sell? Write an equation that can be used to find the number of cakes that she sells.

Algebraic Equation:

Solve the Equation

### Algebraic Equation:

Let $ x $ represent the number of cakes Caeli sold last week.

Her total earnings are composed of:
- A base salary of $350.
- $35 for each cake sold.

Thus, her total earnings can be expressed by the equation:

\[
350 + 35x = 630
\]

### Solve the Equation:

1. Subtract 350 from both sides to isolate the term with $ x $:

\[
35x = 630 - 350
\]

\[
35x = 280
\]

2. Divide both sides by 35 to solve for $ x $:

\[
x = \frac{280}{35} = 8
\]

### Solution:

Caeli sold **8 cakes** last week.

Would you like further details on the solution or any clarification?

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Here are 5 related questions:
1. What would happen if Caeli's base salary increased to $400 per week?
2. How much would she earn if she sold 10 cakes?
3. What is the least number of cakes Caeli must sell to earn $800 in a week?
4. How many cakes would she need to sell to double her earnings to $1260?
5. How does her earnings change if the price per cake changes to $40?

**Tip:** Always check if the equation reflects all parts of the problem, such as fixed amounts and variable factors!

Caeli sells cakes at Zoe's bakery. She earns $350 a week plus $35 per cake she sells. If she earned $630 last week, how many cakes did she sell? Write an equation that can be used to find the number of cakes that she sells.

Solve the linear equation where Caeli earns $350 per week plus $35 per cake she sells. Learn how to find the number of cakes Caeli sold last week if she earned $630, using algebraic methods. Suitable for students in Grades 6-8.

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