Question

I'm not sure how to answer this. I will give you 18 points if you are able to.

A new accessory, the Laser Saber, has sales equal to 1.5 times the difference of the number of Invisible Shields and X-Ray Vision Glasses.

Part A: Write an expression to represent the number of Laser Sabers sold.

Part B: How would you write an equivalent expression for the sales in simplified form? Explain

Part C: Add the expression to find the total number of all four accessories sold.

Part D: If the toy store sold 78 of the latest action figures, how many accessories did it sell? Explain.

Answer 1

See explanation

Explanation:

A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures.

The table below represents the actual number of each accessory sold per box of action figures.

`\begin{array}{cccc}\text{Accessory}&\text{Turbo Jet Pack}&\text{X-Ray Visson Glasses}&\text{Invisible Shield}\\ \\\text{Expression }&6d+7&2d-5&10d+1\end{array}`

A new accessory, the Laser Saber, has sales equal to 1.5 times the difference of the number of Invisible Shields and X-Ray Vision Glasses.

Part A. The number of Laser Sabers:

`1.5((10d+1)-(2d-5))`

Part B. Simplify previous expression:

`1.5((10d+1)-(2d-5))=1.5(10d+1-2d+5)=1.5(8d+6)=12d+9`

Part C. Add all numbers:

`(6d+7)+(2d-5)+(10d+1)+(12d+9)\\ \\=(6d+2d+10d+12d)+(7-5+1+9)\\ \\=30d+12`

Part D. If the toy store sold 78 of the latest action figures, then they sold

`78/ 12=6.5` dozens and

`30\cdot 6.5+12=207`