Answer:
Total paint left over = [tex]\frac{13}{12}L[/tex]
Step-by-step explanation:
Given - To paint a house, 5/4 L of white paint and 1/2 L of blue paint
were mixed. In the end only 2/3 L of the mixture were used.
To find - How many liters of paint were left over ?
Proof -
Given that,
5/4 L of white paint and 1/2 L of blue paint were mixed.
So, total mixture = [tex](\frac{5}{4} + \frac{1}{2})L[/tex]
= [tex]\frac{5 + 2}{4}L[/tex]
= [tex]\frac{7}{4}L[/tex]
⇒Total mixture = [tex]\frac{7}{4}L[/tex]
Now,
Given that ,
In the end only 2/3 L of the mixture were used.
So, total mixture left = [tex](\frac{7}{4} - \frac{2}{3})L[/tex]
= [tex]\frac{21 - 8}{12}L[/tex]
= [tex]\frac{13}{12}L[/tex]
∴ we get
Total paint left over = [tex]\frac{13}{12}L[/tex]