Answered

9.

(a) What fraction of the money did the girls receive?

(b) What was the share of each child?

(c) If one of the girls did not take her share and the money was divided among the remaining grandchildren, what is the fraction of the money received by the boys?

(d) How much money did the boys receive in total?

Ram Niwas had left all his money for his grandchildren, 4 of whom were boys and 3 were girls. In his will, he insisted that each grandchild must get an equal share of the total amount of 1,12,00,000.

(e) A whale passed at a depth of 23 feet from the sea level. How far was the whale from the ridge?



Answer :

GinnyAnswer
Let's break this down step-by-step:

### Given:
- Ram Niwas's total money: ₹1,12,00,000
- Number of grandchildren: 4 boys + 3 girls = 7 grandchildren

### (a) Fraction of the money received by the girls
The number of girls is 3. To find the fraction of the total money received by the girls, we take the ratio of the number of girls to the total number of grandchildren.

- Fraction of the money received by girls = Number of girls / Total grandchildren
- Fraction of the money received by girls = 3 / 7
- Fraction of the money received by girls ≈ 0.428571 or approximately 42.8571%

### (b) Share of each child
Each child receives an equal share of the total money. Therefore, we divide the total amount by the total number of grandchildren.

- Share of each child = Total money / Total grandchildren
- Share of each child = ₹1,12,00,000 / 7
- Share of each child = ₹16,00,000

### (OR) If one of the girls did not take her share and the money was divided among the remaining grandchildren:
Now, we have to calculate the new distribution with one girl not taking her share. This means only 6 grandchildren will divide the total money.

### New Total Grandchildren
- New total grandchildren = 7 - 1 = 6 grandchildren

### New Share per Grandchild
- New share per child = Total money / New total grandchildren
- New share per child = ₹1,12,00,000 / 6
- New share per child ≈ ₹18,66,666.67

### (c) Fraction of the money received by the boys in the new distribution
The number of boys remains 4. To find the fraction of the total money received by the boys now, we take the ratio of the number of boys to the new total number of grandchildren.

- Fraction of the money received by boys = Number of boys / New total grandchildren
- Fraction of the money received by boys = 4 / 6
- Fraction of the money received by boys ≈ 0.666667 or approximately 66.6667%

### (d) Total money received by the boys in the new distribution
- Total money received by boys = Fraction of the money received by boys Total money
- Total money received by boys = 0.666667 ₹1,12,00,000
- Total money received by boys ≈ ₹74,66,666.67

Based on the given results, here's a summary:
1. The fraction of the money received by the girls is approximately 42.8571%.
2. The share of each child (when all 7 grandchildren receive their share) is ₹16,00,000.
3. If one girl did not take her share, the fraction of the money received by the boys is approximately 66.6667%.
4. The total money received by the boys in this scenario is approximately ₹74,66,666.67.