Answer:
He can make [tex]22\frac{6}{7} \ servings.[/tex]
Step-by-step explanation:
Given:
A recipe calls for 2 cups of flour and 1 3/4 cup milk to make eight servings.
Now, to find the servings he can make of 5 cups of milk.
Let the servings he can make of 5 cups of milk be [tex]x.[/tex]
According to recipe, [tex]1\frac{3}{4} \ cup[/tex] milk needed to make eight servings.
So, [tex]\frac{7}{4} \ cup[/tex] is equivalent to 8.
Thus, 5 cups is equivalent to [tex]x.[/tex]
Now, to solve by using cross multiplication method:
[tex]\frac{\frac{7}{4}}{8} =\frac{5}{x}[/tex]
[tex]\frac{7}{32} =\frac{5}{x}[/tex]
By cross multiplying we get:
[tex]7x=160[/tex]
Dividing both sides by 7 we get:
[tex]x=22\frac{6}{7} \ servings.[/tex]
Therefore, he can make [tex]22\frac{6}{7} \ servings.[/tex]
