Answer:
[tex]B=\frac{40}{3}[/tex]
Step-by-step explanation:
Let's assume
A be amount of ingredient A in cups
B be amount of ingredient A in cups
we are given
a recipe calls for 1/2 cup of ingredient a for everyone 1 2/3 cups of ingredients B
so, we get
[tex]\frac{A}{B} =\frac{\frac{1}{2} }{1\frac{2}{3} }[/tex]
[tex]\frac{A}{B} =\frac{\frac{1}{2} }{\frac{5}{3} }[/tex]
[tex]\frac{A}{B} =\frac{3}{10}[/tex]
now, we are given
A=4
[tex]\frac{4}{B} =\frac{3}{10}[/tex]
now, we can solve for B
[tex]B=\frac{4\times 10}{3}[/tex]
[tex]B=\frac{40}{3}[/tex]
