Question

Before making some soup a chef mixes 1/2 cup of cream with 3/4 cup of milk.If the scientist uses 1/8 cup of the combined liquids to make one batch of soup, how many batches of soup can be made?

Answer 1

For this case we have to mix:

`\frac {1} {2}`cup of cream

`\frac {3} {4}` cup of milk

Then the combined mixture is of:

`\frac {1} {2} + \frac {3} {4} = \frac {4 * 1 + 2 * 3} {2 * 4} = \frac {4 + 6} {8} = \frac {10 } {8} = \frac {5} {4} cups`

If you use
`\frac {1} {8}` cup of the mixture to make a batch of soup, then we have:

`\frac {\frac {5} {4}} {\frac {1} {8}} = \frac {5 * 8} {4 * 1} = \frac {40} {4} = 10`

Thus, 10 batches of soup can be made.

Answer:

10 batches of soup