Q:

Angie can paint one room with 2/3 of a canister of one shade of green paint. she will need 5/8 of a canister of the same shade of green paint for a second room. Does Angie have enough of this shade of green paint to finish the second room? If not, how much additional paint will she need? Express your answer in decimal form.

Accepted Solution

A:
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 =  [tex]\dfrac{2}{3}[/tex]Remaining part of canister of same shade of green paint is given by[tex]1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}[/tex]But part of canister she needed for second room = [tex]\dfrac{5}{8}[/tex]and we know that [tex]\dfrac{5}{8}>\dfrac{1}{3}[/tex]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[tex]\dfrac{5}{8}-\dfrac{1}{3}\\\\=\dfrac{15-8}{24}\\\\=\dfrac{7}{24}\\\\=0.29[/tex]Hence, she need 0.29  of canister additional paint for the second room.