Question

Sam is baking cakes at her parents' bakery. She gets paid $20 a week, in addition to $4 for every cake she bakes. She made $60 this week. Write an equation to show how many cakes Sam baked this week.

a 60 + 4x = 20
b 20 − 4x = 60
c 60 − 4x = -20
d 20 + 4x = 60

Answer 1

Let's define the variable \( x \) as the number of cakes Sam baked this week.

Sam's total earnings consist of her fixed weekly pay of $20 plus $4 for each cake baked. Therefore, her total earnings can be represented by the equation:

\[
20 + 4x = 60
\]

This equation shows that her fixed payment of $20 plus the money earned from baking \( x \) cakes (where each cake earns her $4) equals her total earnings of $60.

From the provided options, the correct equation is:

**d. \( 20 + 4x = 60 \)**.