Tank N contained 4 times as many guppies as Tank P. When 30% of the guppies in Tank N and 40% of the guppies in Tank P were transferred to Tank Q, Tank Q had 96 guppies, which was 50% more guppies than before. How many more guppies were there in Tank Q than Tank P in the end?

	Tank N	Tank P	Tank Q
Before	4 u	1 u	2x1.6 = 3.2 u
Change	- 1.2 u	- 0.4 u	+ 1x1.6 = + 1.6 u
After	2.8 u	0.6 u	3x1.6 = 4.8 u

Number of guppies that were transferred from Tank N to Tank Q
= 30% x 4 u
= ³⁰₁₀₀ x 4 u
= 1.2 u

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

50% = ⁵⁰₁₀₀ = ¹₂

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

Total number of guppies transferred from Tank N and Tank P into Tank Q
= 1.2 u + 0.4 u
= 1.6 u

4.8 u = 96

1 u = 96 ÷ 4.8 = 20

Number of more guppies in Tank Q than Tank P
= 4.8 u - 0.6 u
= 4.2 u
= 4.2 x 20
= 84

Answer(s): 84