An insurance company had a budget of $1 500 000.00 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 into equally between an orphanage and a street cleaning project. 1. How much did sports and old people's home receive altogether?

Question

2. How much went to street cleaning project?
3. What percentage of the budget went to the orphanage?

Answer 1

Let's break down the amounts step by step.

1. Total budget: $1,500,000.00

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

3. Remaining budget after Sports: \[ \text{Remaining budget} = 1,500,000 - 375,000 = 1,125,000 \]

4. Amount allocated to old-people's home: \[ \text{Amount for old-people's home} = \frac{1}{2} \times 1,125,000 = 562,500 \]

5. Total amount received by Sports and old-people's home: \[ \text{Total for Sports and old-people's home} = 375,000 + 562,500 = 937,500 \]

6. Remaining budget after Sports and old-people's home: \[ \text{Remaining budget} = 1,125,000 - 562,500 = 562,500 \]

7. Amount allocated to the orphanage and street cleaning project: \[ \text{Amount for orphanage} = \text{Amount for street cleaning project} = \frac{1}{2} \times 562,500 = 281,250 \]

8. Total for street cleaning project: \[ \text{Amount for street cleaning project} = 281,250 \]

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

Summary of the results:

1. Total Sports and old people's home: $937,500
2. Amount for street cleaning project: $281,250
3. Percentage of the budget for orphanage: 18.75%