For this case we have to mix:
[tex]\frac {1} {2}[/tex]cup of cream
[tex]\frac {3} {4}[/tex] cup of milk
Then the combined mixture is of:
[tex]\frac {1} {2} + \frac {3} {4} = \frac {4 * 1 + 2 * 3} {2 * 4} = \frac {4 + 6} {8} = \frac {10 } {8} = \frac {5} {4} cups[/tex]
If you use [tex]\frac {1} {8}[/tex] cup of the mixture to make a batch of soup, then we have:
[tex]\frac {\frac {5} {4}} {\frac {1} {8}} = \frac {5 * 8} {4 * 1} = \frac {40} {4} = 10[/tex]
Thus, 10 batches of soup can be made.
Answer:
10 batches of soup