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Rosanne paid for an Introduction to Painting course at Cool Canvas Art Studio. The cost of the course covers 8 painting classes. She also bought a beginner's painting kit for [tex]\$42[/tex]. Rosanne paid [tex]\$186[/tex] in all.

Which equation can you use to find the cost, [tex]c[/tex], of each painting class?

A. [tex]42c + 8 = 186[/tex]
B. [tex]42(c + 8) = 186[/tex]
C. [tex]8c + 42 = 186[/tex]
D. [tex]8(c + 42) = 186[/tex]

Answer :

To solve this problem, we need to find the cost of each painting class, represented as [tex]\( c \)[/tex].

Let's break down the information given in the problem:

1. Rosanne bought a beginner's painting kit for \[tex]$42.
2. The cost of the course covers 8 painting classes.
3. In total, Rosanne paid \$[/tex]186 for everything.

We can set up an equation using these details. The total amount paid by Rosanne includes the cost of the painting kit plus the cost of the 8 painting classes. We can express this relationship with the following equation:

[tex]\[ 8c + 42 = 186 \][/tex]

Here's the logic behind it:
- [tex]\( 8c \)[/tex] represents the total cost for 8 painting classes, where [tex]\( c \)[/tex] is the cost of each class.
- 42 is the cost of the painting kit.
- The sum of these costs should equal the total amount Rosanne paid, which is 186.

Thus, the equation that can help you find the cost of each painting class is:

[tex]\[ 8c + 42 = 186 \][/tex]

This equation matches the one from your options, which is [tex]\( 8c + 42 = 186 \)[/tex].

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Rewritten by : Barada