Cole had to paint some containers. On the first day, the number of containers he painted was 10% of the number of containers that he had not painted. One week later, he painted another 145 containers. As a result, the total number of painted containers became 29 more than ³₄ of the total number of containers. How many less containers were painted than unpainted on the first day?

	Painted	Not painted	Total
Before	1x4 = 4 u	10x4 = 40 u	11x4 = 44 u
Change	+ 145	- 145
After	4 u + 145	40 u - 145	44 u
Comparing painted and not painted containers in the end	3x11 + 29 = 33 u + 29	1x11 - 29 = 11 u - 29	4x11 = 44 u

10% = ¹⁰₁₀₀ = ¹₁₀
Painted : Not painted = 1 : 10

The total number of containers remains unchanged. Make the total number of containers at first and in the end the same.  LCM of 11 and 4 is 44.

The number of containers painted in the end is repeated.

33 u + 29 = 4 u + 145
33 u - 4 u = 145 - 29
29 u = 116

1 u = 116 ÷ 29 = 4

Number of less containers that were painted than not painted on the first day
= 40 u - 4 u
= 36 u
= 36 x 4
= 144

Answer(s): 144