Planning An Escape

Algebra Level 1

The prisoners have 5 days to come up with 100% of a plan. Each prisoner creates 2.5% of the plan every day they are there. How many prisoners are there in the prison?


The answer is 8.

Theodore Stephens by Theodore Stephens , 18, USA

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3 solutions

Hung Woei Neoh
Jun 6, 2016

Let the number of prisoners be x x

We know that

x × 2.5 × 5 = 100 x = 100 12.5 = 8 x \times 2.5 \times 5 = 100\\ x = \dfrac{100}{12.5} = \boxed{8}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

You know that since there are 5 days, each day must have contributed 20%. 20 divided by 2.5 is 8, so there were 8 prisoners in the prison.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Vishruth K
Mar 30, 2021

If the prisoners come up with 100% of a plan in 5 days, the come up with 20% of a plan in 1 day. 20 divided by 2.5 = 8 , the answer and the amount of prisoners in prison.

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