A woman earns 450 a month. She pays 1/5 of this amount for rent, 1/3 of this amount for food, and 1/6 for other expenses. The amount of money she has left per month is?

Answer 1

To find out how much money the woman has left after paying for rent, food, and other expenses, we first need to calculate the amounts she spends in each category.

1. Rent: She pays \( \frac{1}{5} \) of her monthly earnings. \[ \text{Rent} = \frac{1}{5} \times 450 = 90 \]

2. Food: She pays \( \frac{1}{3} \) of her monthly earnings. \[ \text{Food} = \frac{1}{3} \times 450 = 150 \]

3. Other expenses: She pays \( \frac{1}{6} \) of her monthly earnings. \[ \text{Other expenses} = \frac{1}{6} \times 450 = 75 \]

Now, we will sum up all her expenses: \[ \text{Total expenses} = \text{Rent} + \text{Food} + \text{Other expenses} = 90 + 150 + 75 = 315 \]

Next, we will calculate the amount of money she has left after paying her expenses: \[ \text{Amount left} = \text{Total earnings} - \text{Total expenses} = 450 - 315 = 135 \]

Thus, the amount of money she has left per month is \( \boxed{135} \).