Answer:
It will take 7 days for all the class to complete the problems.
Step-by-step explanation:
We are given that 3 students solve math problems everyday.
Also, the number of students doubles each day.
So, we get the pattern,
Days (S) Number of students
1 3 = 3
2 3 × 2 = 3 × 2¹
3 3 × 2 × 2 = 3 × 2²
4 3 × 2 × 2 × 2 = 3 × 2³
5 3 × 2 × 2 × 2 × 2 = 3 × 2⁴
6 3 × 2 × 2 × 2 × 2 × 2 = 3 × 2⁵
As, there are total 384 students in the class.
We get the equation as,
On solving, we have,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e. S = 7
Hence, it will take 7 days for all the class to complete the problems.