Rael had to paint some containers. On the first day, the number of containers he painted was 30% of the number of containers that he had not painted. One week later, he painted another 323 containers. As a result, the total number of painted containers became 27 more than ⁴₅ of the total number of containers. How many less containers were painted than unpainted on the first day?

	Painted	Not painted	Total
Before	3x5 = 15 u	10x5 = 50 u	13x5 = 65 u
Change	+ 323	- 323
After	15 u + 323	50 u - 323	65 u
Comparing painted and not painted containers in the end	4x13 + 27 = 52 u + 27	1x13 - 27 = 13 u - 27	5x13 = 65 u

30% = ³⁰₁₀₀ = ³₁₀
Painted : Not painted = 3 : 10

The total number of containers remains unchanged. Make the total number of containers at first and in the end the same.  LCM of 13 and 5 is 65.

The number of containers painted in the end is repeated.

52 u + 27 = 15 u + 323
52 u - 15 u = 323 - 27
37 u = 296

1 u = 296 ÷ 37 = 8

Number of less containers that were painted than not painted on the first day
= 50 u - 15 u
= 35 u
= 35 x 8
= 280

Answer(s): 280