An insurance company had to a budget of 1 500 000 for social responsibility. One quarter of this amount went to sports and half of the remainder went to old-people's home. After this, the remaining money was divided equally between an orphanage and a street cleaning project.

Question

1. How much did sports and old people's home receive altogether?
2. How much went to street cleaning project?
3. What percentage of the budget went to the orphanage?

Answer 1

Let's start by breaking down the budget and calculating each step as described in the problem.

Total Budget: 1,500,000

1. Amount allocated to Sports: \[ \text{Amount for Sports} = \frac{1}{4} \times 1,500,000 = 375,000 \]

2. Amount remaining after Sports: \[ \text{Remaining Amount} = 1,500,000 - 375,000 = 1,125,000 \]

3. Amount allocated to Old People's Home: \[ \text{Amount for Old People's Home} = \frac{1}{2} \times 1,125,000 = 562,500 \]

4. Total amount received by Sports and Old People's Home: \[ \text{Total for Sports and Old People's Home} = 375,000 + 562,500 = 937,500 \]

5. Remaining amount after allocation to Sports and Old People's Home: \[ \text{Remaining Amount} = 1,500,000 - 937,500 = 562,500 \]

6. Amount allocated to Orphanage and Street Cleaning Project (divided equally): \[ \text{Amount for each (Orphanage and Street Cleaning Project)} = \frac{562,500}{2} = 281,250 \]

7. Amount allocated to Street Cleaning Project: \[ \text{Amount for Street Cleaning Project} = 281,250 \]

8. Amount allocated to Orphanage: \[ \text{Amount for Orphanage} = 281,250 \]

9. Percentage of the total budget allocated to the Orphanage: \[ \text{Percentage for Orphanage} = \left( \frac{281,250}{1,500,000} \right) \times 100 \approx 18.75% \]

Summary of the Results:

1. Total amount received by Sports and Old People's Home: 937,500
2. Amount allocated to Street Cleaning Project: 281,250
3. Percentage of the budget that went to the Orphanage: 18.75%