Answer:
The equipment will cost $1740.
Step-by-step explanation:
Let the Cost of equipment, furniture and decoration be x, y and z.
Now, According to question,
x + y + z = 3600 ...... (1) (cost of all items)
x = 500 + y (∵ equipment cost 500 more than furniture)
and y = 2z ( ∵ furniture twice as much as decoration)
so, z = y/2
Now substituting the value of x and z in eq (1)
![x + y + z = 3600](https://tex.z-dn.net/?f=%20x%20%2B%20y%20%2B%20z%20%3D%203600)
![500 + y + y + \frac{y}{2} = 3600](https://tex.z-dn.net/?f=500%20%2B%20y%20%2B%20y%20%2B%20%5Cfrac%7By%7D%7B2%7D%20%3D%203600)
![2y + \frac{y}{2} = 3600 - 500](https://tex.z-dn.net/?f=2y%20%2B%20%5Cfrac%7By%7D%7B2%7D%20%3D%203600%20-%20500)
![\frac{5y}{2} = 3100](https://tex.z-dn.net/?f=%5Cfrac%7B5y%7D%7B2%7D%20%3D%203100)
![y = \frac{3100\times 2}{5} = 1240](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3100%5Ctimes%202%7D%7B5%7D%20%3D%201240)
So, the cost of furniture (y) = 1240
∴ Cost of equipment = y + 500 = 1240 + 500 = 1740
Therefore the cost of equipment was $1740.