Sure, let's work out the problem step-by-step:
1. Total Problems Given:
Geeta started with a total of 30 problems for her homework.
2. Fraction Solved:
She managed to solve [tex]\(\frac{2}{3}\)[/tex] of the total problems.
3. Number of Problems Solved:
To find out how many problems she solved, we multiply the total number of problems by the fraction she solved:
[tex]\[
\text{Number of problems solved} = 30 \times \frac{2}{3}
\][/tex]
4. Number of Problems Left:
After solving some problems, we subtract the number of problems she solved from the total to find out how many are left:
[tex]\[
\text{Number of problems left} = 30 - \text{Number of problems solved}
\][/tex]
After performing these calculations:
- Geeta solved 20 problems.
- The number of problems remaining is 10.
Therefore, Geeta still has 10 problems left to be worked out.
