Question

An insurance agent handles 240
accounts, and 3/4

of the accounts are with married people. Of the married couples, 4/9

have children. How many of the accounts involve married couples with children?

Answer 1

To find how many of the accounts involve married couples with children, we can follow these steps:

1. **Calculate the number of married accounts**:
\[
\text{Number of married accounts} = \frac{3}{4} \times 240
\]
\( \frac{3}{4} \times 240 = 180 \)

2. **Calculate the number of married accounts with children**:
\[
\text{Number of married accounts with children} = \frac{4}{9} \times \text{Number of married accounts}
\]
\[
= \frac{4}{9} \times 180
\]
To compute this:
\[
\frac{4 \times 180}{9} = \frac{720}{9} = 80
\]

Thus, the number of accounts that involve married couples with children is **80**.