Question

Rohini had 8$ in her purse she spent 5/9, of her money did she have left in her purse

A container can hold 28l of water when full the container is 3/7 full how many liters of water are needed to fill the container completely

Answer 1

To solve each problem:

### Problem 1:
Rohini had $8 in her purse and spent \( \frac{5}{9} \) of her money.

First, calculate how much she spent:
\[
\text{Amount spent} = \frac{5}{9} \times 8 = \frac{5 \times 8}{9} = \frac{40}{9} \approx 4.44 \text{ dollars}
\]

Next, determine how much is left in her purse:
\[
\text{Amount left} = \text{Initial amount} - \text{Amount spent} = 8 - \frac{40}{9}
\]

To subtract, convert 8 to a fraction:
\[
8 = \frac{72}{9}
\]

Now, perform the subtraction:
\[
\text{Amount left} = \frac{72}{9} - \frac{40}{9} = \frac{72 - 40}{9} = \frac{32}{9} \approx 3.56 \text{ dollars}
\]

So, Rohini has \( \frac{32}{9} \) dollars (or approximately $3.56) left in her purse.

### Problem 2:
A container can hold 28 liters of water when full and is currently \( \frac{3}{7} \) full.

First, calculate how much water is currently in the container:
\[
\text{Current amount of water} = \frac{3}{7} \times 28 = \frac{3 \times 28}{7} = \frac{84}{7} = 12 \text{ liters}
\]

Now, find out how much more water is needed to fill the container completely:
\[
\text{Water needed} = \text{Total capacity} - \text{Current amount of water} = 28 - 12 = 16 \text{ liters}
\]

Thus, \( 16 \) liters of water are needed to fill the container completely.

### Summary of Answers:
1. Rohini has \( \frac{32}{9} \) dollars left in her purse (approximately $3.56).
2. \( 16 \) liters of water are needed to fill the container completely.