Write the first ratio as 11/100 and set it equal to 22/n.
since 11 x 2=22 you can multiply 100 x 2 and you'll get 200.
*Check*: 11% of 200=22
Answer:
Rays: A, B, C, D - 4 rays for each.
Line segments: AB, BD, DC, CA.
The final price of the item is $22,644
The initial discount of 10% leaves the price at 90% of the retail value:
![\frac{x}{34000} = \frac{90}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B34000%7D%20%20%3D%20%20%5Cfrac%7B90%7D%7B100%7D%20)
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
![\frac{x}{30600} = \frac{74}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B30600%7D%20%20%3D%20%20%5Cfrac%7B74%7D%7B100%7D%20)
cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644