Carl had to paint some boxes. On the first day, the number of boxes he painted was 30% of the number of boxes that he had not painted. One week later, he painted another 354 boxes. As a result, the total number of painted boxes became 30 more than ³₄ of the total number of boxes. How many more boxes were unpainted than painted on the first day?

	Painted	Not painted	Total
Before	3x4 = 12 u	10x4 = 40 u	13x4 = 52 u
Change	+ 354	- 354
After	12 u + 354	40 u - 354	52 u
Comparing painted and not painted boxes in the end	3x13 + 30 = 39 u + 30	1x13 - 30 = 13 u - 30	4x13 = 52 u

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

The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same.  LCM of 13 and 4 is 52.

The number of boxes painted in the end is repeated.

39 u + 30 = 12 u + 354
39 u - 12 u = 354 - 30
27 u = 324

1 u = 324 ÷ 27 = 12

Number of more boxes that were not painted than painted on the first day
= 40 u - 12 u
= 28 u
= 28 x 12
= 336

Answer(s): 336