Answer:
To solve the equation G + 2g + 1/2g = $59.50, we need to combine like terms and isolate the variable "g." Let's break it down step-by-step:
1. Combine like terms:
- The "G" term represents a certain amount of money, while the "g" term represents another amount of money.
- Since the equation doesn't provide specific values for "G" and "g," we'll keep them as variables for now.
The equation becomes: G + (2 + 1/2)g = $59.50
2. Simplify:
- We can simplify the expression (2 + 1/2) as follows: 2 + 1/2 = 4/2 + 1/2 = 5/2.
- Now, the equation becomes: G + (5/2)g = $59.50
3. Isolate the variable:
- To solve for "g," we need to isolate it on one side of the equation. Since it has a coefficient of (5/2), we'll divide both sides of the equation by (5/2) to cancel it out.
(G + (5/2)g) / (5/2) = $59.50 / (5/2)
Simplifying further, we get: 2(G + (5/2)g) = 2($59.50 / (5/2))
2G + 5g = 2($59.50) / (5/2)
4. Calculate:
- Evaluate the expression on the right side of the equation.
- $59.50 divided by (5/2) is the same as $59.50 multiplied by (2/5).
- So, we have 2G + 5g = 2($59.50) * (2/5)
5. Further simplify and solve for "g":
- Solve the right side of the equation to get a numerical value.
- Continue simplifying the equation by distributing the 2 on the right side.
- Then, move the term with the variable "G" to the right side to isolate "g."
- Finally, divide both sides of the equation by 5 to solve for "g."
Explanation: