There was an equal number of tables and desks in the morning. At 3 p.m., some tables were added and some desks were removed, resulting in the number of tables being increased by 20% while the number of desks decreased by 40%. At 9 p.m. the number of tables increased by 50%. If a total of 76 tables were added during the day, how many more tables than desks were there in the end?

At 3 p.m.	Tables	Desks
Before	1 u	1 u
Change	+ 0.2 u	- 0.4 u
After	1.2 u	0.6 u

At 9 p.m.	Tables	Desks
Before	1.2 u	0.6 u
Change	+ 0.6 u	No change
After	1.8 u	0.6 u

Number of tables added
= 20% x 1 u
= ²⁰₁₀₀ x 1 u
= 0.2 u

Number of desks removed
= 40% x 1 u 
= ⁴⁰₁₀₀ x 1 u
= 0.4 u

Number of tables increased by tables at 9 p.m.
= 50% x 1.2 u
= ⁵⁰₁₀₀ x 1.2 u
= 0.6 u

Number of tables added during the day
= 1.8 u - 1 u
= 0.8 u

0.8 u = 76

1 u = 76 ÷ 0.8 = 95

Number of more tables than desks in the end
= 1.8 u - 0.6 u
= 1.2 u
= 1.2 x 95
= 114

Answer(s): 114