Question

Create and solve an equation that would determine the total cost for the purchase of only new games with no game cards based on the family's budget of $750. a. The X Cube b. The Workstation c. The Mathtendo

Answer 1

determine the total cost for thepurchase of only new games with no game cards, we can create and solve an equation

Let's assign variables to represent the costs of the three game options:

- Let's use "x" to represent the cost of The X Cube.

- Let's use "y" to represent the cost of The Workstation.

- Let's use "z" to represent the cost of The Mathtendo.

Since we want to find the total cost, we can add the costs of the three games together:

Total Cost = x + y + z

According to the question, the family's budget is $750. So we can set up the equation:

x + y + z = 750

Now, let's solve the equation based on the given options:

- If the cost of The X Cube is $300, the cost of The Workstation is $200, and the cost of The Mathtendo is $250, we can substitute these values into the equation:

300 + 200 + 250 = 750

So, if the costs of the games are as mentioned above, the equation is balanced, and the total cost is indeed $750.

Remember that the equation can have multiple solutions, depending on the costs of the games. As long as the sum of the costs equals the family's budget, the equation will be satisfied. You can substitute different values for x, y, and z as long as they add up to $750 to find other valid solutions.

Answer 2

`\textsf{ The equation which is created : } \sf x + w + m = 750`

`\textsf{ The equation which is solved : } \sf x = 750 - w - m`

Explanation:

Let's denote the cost of the X Cube as "x", the cost of the Workstation as "w", and the cost of the Mathtendo as "m".

Since the family's budget is $750, we can create the equation:

`\sf x + w + m = 750`

Now, let's say that:

• The X Cube costs $350.
• The Workstation costs $250.

• The Mathtendo costs $150.

Substitute these values into the equation:

`\sf 350 + 250 + 150 = 750`

So, the equation becomes:

`\sf x + w + m = 750`

Now, let's solve the equation for one of the variables.

For instance, let's solve for "x":

`\sf x = 750 - w - m`

This equation shows that the cost of the X Cube is equal to the remaining budget after subtracting the costs of the Workstation and the Mathtendo.

Therefore,

`\textsf{ The equation which is created : } \sf x + w + m = 750`

`\textsf{ The equation which is solved : } \sf x = 750 - w - m`

Note:

These cost values are based on the values we imagined. If the cost of any of the games changes, we need to adjust the values accordingly in the equation.