Copier J prints at a rate of 105 letters in every 3 minutes and Copier K prints at a rate of 130 letters in every 5 minutes. At 5 p.m., both copiers started printing. After a while, Copier J stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier K continued printing during this time. At 8 p.m., the total number of letters printed during the past three hours was 8321. Express the number of letters printed by Copier J as a percentage of the total number of letters printed by both copiers. Round off your answer to 2 decimal places.
Number of letters Copier J prints per min = 105 ÷ 3 = 35
Number of letters Copier K prints per min = 130 ÷ 5 = 26

From 5 p.m. to 8 p.m. = 3 h
1 h = 60 min
3 h = 180 min

Number of letters printed by Copier K in 5 h
= 180 x 26
= 4680

Number of letters printed by Copier J in 5 h
= 8321 - 4680
= 3641

Percentage of the number of letters that Copier J printed over the total number of letters printed
= ³⁶⁴¹₈₃₂₁ x 100%
≈ 43.76%

Answer(s): 43.76%