Question

1. a man earns d1000000.00. he uses \frac{3}{5} on food, \frac{1}{4} of the remainder on clothes and saves half of what still remains. how much does he have left?

Explanation:

🆕 New Concept Discovered: Fraction Word Problems with Remainders
Working step-by-step with leftover amounts

Step 1: Calculate the amount spent on food

The man earns a total of D1,000,000.00. He spends \(\frac{3}{5}\) of this total on food.

$$ \text{Food Expense} = \frac{3}{5} \times 1,000,000 = 600,000 $$

Step 2: Find the first remainder

To find out how much money is left after buying food, subtract the food expense from the total earnings.

$$ \text{First Remainder} = 1,000,000 - 600,000 = 400,000 $$

Step 3: Calculate the amount spent on clothes

He spends \(\frac{1}{4}\) of the remainder (which is D400,000) on clothes.

$$ \text{Clothes Expense} = \frac{1}{4} \times 400,000 = 100,000 $$

Step 4: Find the second remainder

Subtract the clothes expense from the first remainder to find what still remains.

$$ \text{Second Remainder} = 400,000 - 100,000 = 300,000 $$

Step 5: Calculate savings and the final amount left

He saves half of what still remains (half of D300,000). The other half is what he has left.

$$ \text{Savings} = \frac{1}{2} \times 300,000 = 150,000 $$

$$ \text{Amount Left} = 300,000 - 150,000 = 150,000 $$

Answer:

D150,000.00