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

A. [tex]$60 + 4x = 20$[/tex]
B. [tex]$20 - 4x = 60$[/tex]
C. [tex]$60 - 4x = -20$[/tex]
D. [tex]$20 + 4x = 60$[/tex]

Sagot :

GinnyAnswer
Certainly! Let's walk through the problem step-by-step to determine the correct equation that shows how many cakes Sam baked this week.

1. Identify known values:
- Sam's weekly pay: $20
- Additional pay per cake: $4
- Total earnings for the week: $60

2. Define the variable:
- Let \( x \) represent the number of cakes Sam baked.

3. Create the equation:
- Sam's total earnings come from her weekly pay plus her earnings from baking cakes.
- Weekly pay: $20
- Earnings from cakes: $4 per cake times the number of cakes (\( 4x \))

4. Formulate the total earnings equation:
- Total weekly earnings = Weekly pay + Earnings from cakes
- Total weekly earnings = [tex]$20 + $[/tex]4 \times x$

5. Set up the equation based on the total earnings:
- Since Sam earned a total of $60, we can write:
[tex]\[ 20 + 4x = 60 \][/tex]

Thus, the correct equation that represents the number of cakes Sam baked this week is:
[tex]\[ 20 + 4x = 60 \][/tex]
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