To find the total amount Rebekah spent on paint and brushes, we need to consider the cost of each item and the quantity she purchased. Here's a step-by-step breakdown of this solution:
1. Determine the cost of the paint:
- Rebekah buys [tex]$g$[/tex] gallons of paint.
- The cost per gallon of paint is [tex]$12.85.
- Therefore, the total cost for the paint is:
\[
\text{Total cost of paint} = 12.85 \times g
\]
2. Determine the cost of the brushes:
- Rebekah buys $[/tex]b[tex]$ brushes.
- The cost per brush is $[/tex]4.79.
- Therefore, the total cost for the brushes is:
[tex]\[
\text{Total cost of brushes} = 4.79 \times b
\][/tex]
3. Combine the costs:
- To get the total amount spent, we need to add the total cost of the paint to the total cost of the brushes:
[tex]\[
\text{Total amount} = (12.85 \times g) + (4.79 \times b)
\][/tex]
This expression represents the total amount of money Rebekah spent on both paint and brushes.
Let's now match this derived expression with the options provided:
A) [tex]\(4.79 b + 12.85 g\)[/tex]
B) [tex]\(4.79 g + 12.85 b\)[/tex]
C) [tex]\(12.85 b + 4.79 b\)[/tex]
D) [tex]\(12.85 g - 4.79 b\)[/tex]
Clearly, the expression that matches [tex]\((12.85 \times g) + (4.79 \times b)\)[/tex] is:
Option A: [tex]\(4.79 b + 12.85 g\)[/tex]
So, the correct expression to determine the total amount Rebekah spent on paint and brushes is:
A) [tex]\(4.79 b + 12.85 g\)[/tex]
