An insurance agent handles 240

Question

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.