Out of the 120 people, 1/3 are men, so there are 120 * 1/3 = 40 men.
Half of the attendees are women, so there are 120 * 1/2 = 60 women.
The rest of the attendees are children, so the number of children is 120 - 40 - 60 = 20.
Therefore, there were 20 children who attended the party.
#### 20
The answer is: 20
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Out of the 120 people who attended the party, 1/3 are men while half are women. The rest are children. How many children attended the party?

### Answer:
