Question

please help me guys, I'm so confused

Answer 1

$\frac{8}{35}$ of all claims were paid in the second month.

Step-by-step explanation:

Step 1; In the first month $\frac{3}{7}$ of all expenses were paid. So to find the expenses that were not paid in the first month we subtract $\frac{3}{7}$ from 1 i.e. 1-$\frac{3}{7}$= $\frac{4}{7}$. So in the first month  $\frac{4}{7}$ of total expenses were not paid.

Step 2; In the second month $\frac{2}{5}$ of the remaining claims were paid i.e. $\frac{2}{5}$ of the remaining claims which is  $\frac{4}{7}$ of the total claims. So to find out the number of claims paid in the second month it's just a case of multiplying $\frac{2}{5}$ with $\frac{4}{7}$.

Fraction of all claims paid in second month = $\frac{2}{5}$  * $\frac{4}{7}$= $\frac{8}{35}$.

Example; If $ 70,000 was the total claim amount, $\frac{3}{7}$ of that which equals $30,000 was paid in the first month. So $40,000 was still to be paid. In the second month $\frac{2}{5}$ of $40,000 was paid which equals $16,000 paid in the second month which is $\frac{8}{35}$ of total claims i.e. $70,000