Tank M contained 2 times as many guppies as Tank N. When 20% of the guppies in Tank M and 40% of the guppies in Tank N were transferred to Tank P, Tank P had 48 guppies, which was 50% more guppies than before. How many more guppies were there in Tank P than Tank N in the end?

	Tank M	Tank N	Tank P
Before	2 u	1 u	2x0.8 = 1.6 u
Change	- 0.4 u	- 0.4 u	+ 1x0.8 = + 0.8 u
After	1.6 u	0.6 u	3x0.8 = 2.4 u

Number of guppies that were transferred from Tank M to Tank P
= 20% x 2 u
= ²⁰₁₀₀ x 2 u
= 0.4 u

Number of guppies that were transferred from Tank N to Tank P
= 40% x 1 u
= ⁴⁰₁₀₀ x 1 u
= 0.4 u

50% = ⁵⁰₁₀₀ = ¹₂

Some guppies from Tank M and Tank N were transferred to Tank P.  The total number of guppies transferred from Tank M and Tank N into Tank P is the same.

Total number of guppies transferred from Tank M and Tank N into Tank P
= 0.4 u + 0.4 u
= 0.8 u

2.4 u = 48

1 u = 48 ÷ 2.4 = 20

Number of more guppies in Tank P than Tank N
= 2.4 u - 0.6 u
= 1.8 u
= 1.8 x 20
= 36

Answer(s): 36