4. Rebekah bought [tex]\( g \)[/tex] gallons of paint for \[tex]$12.85 per gallon and \( b \) brushes for \$[/tex]4.79 each. Which expression can be used to determine the total amount Rebekah spent on paint and brushes?

A. [tex]\( 4.79b + 12.85g \)[/tex]

B. [tex]\( 4.79g + 12.85b \)[/tex]

C. [tex]\( 12.85b + 4.79b \)[/tex]

D. [tex]\( 12.85g - 4.79b \)[/tex]



Answer :

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]