Answer: She need 0.29 of canister additional paint for the second room.
Step-by-step explanation:
Since we have given that
Part of canister of one shade of green paint used to paint one room = ![\dfrac{2}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D)
Remaining part of canister of same shade of green paint is given by
![1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}](https://tex.z-dn.net/?f=1-%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3-2%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B3%7D)
But part of canister she needed for second room = ![\dfrac{5}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B8%7D)
and we know that
![\dfrac{5}{8}>\dfrac{1}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B8%7D%3E%5Cdfrac%7B1%7D%7B3%7D)
So, Angie does not have enough of this shade of green paint to finish the second room.
Additional paint she would need is given by
![\dfrac{5}{8}-\dfrac{1}{3}\\\\=\dfrac{15-8}{24}\\\\=\dfrac{7}{24}\\\\=0.29](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B8%7D-%5Cdfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B15-8%7D%7B24%7D%5C%5C%5C%5C%3D%5Cdfrac%7B7%7D%7B24%7D%5C%5C%5C%5C%3D0.29)
Hence, she need 0.29 of canister additional paint for the second room.