Answer:
Step-by-step explanation:
The ingredients of the recipe is for 6 people.
The recipe calls for 6 people milk needed = [tex]2\frac{2}{3}[/tex] cups
= [tex]\frac{8}{3}[/tex] cups
for 1 person milk needed = [tex]\frac{\frac{8}{3}}{6}[/tex]
= [tex]\frac{8}{3\times 6}[/tex]
= [tex]\frac{8}{18}[/tex]
= [tex]\frac{4}{9}[/tex] cups of milk
Brian decided the recipe for 4 people.
For 4 people milk needed = [tex]\frac{4}{9}\times 4[/tex]
= [tex]\frac{16}{9}[/tex]
= [tex]1\frac{7}{9}[/tex] cup of milk
For 8 people milk needed = [tex]\frac{4}{9}\times 8[/tex]
= [tex]\frac{32}{9}[/tex]
= [tex]3\frac{5}{9}[/tex] cup of milk
The recipe calls for 6 people oil needed = [tex]\frac{1}{4}[/tex] cups
for 1 person oil needed = [tex]\frac{\frac{1}{4}}{6}[/tex]
= [tex]\frac{1}{24}[/tex]
for 4 people oil needed = [tex]\frac{1}{24}\times 4[/tex]
= [tex]\frac{4}{24}[/tex]
= [tex]\frac{1}{6}[/tex] cups
For 8 people oil needed = [tex]\frac{1}{24}\times 8[/tex]
= [tex]\frac{8}{24}[/tex]
= [tex]\frac{1}{3}[/tex] cups
Brian needed milk for 4 people [tex]1\frac{7}{9}[/tex] cups
and milk for 8 people [tex]3\frac{5}{9}[/tex] cups
Brian needed oil for 4 people [tex]\frac{1}{6}[/tex] cups
and oil for 8 people [tex]\frac{1}{3}[/tex] cups