Copier L prints at a rate of 96 letters in every 4 minutes and Copier M prints at a rate of 155 letters in every 5 minutes. At 1 p.m., both copiers started printing. After a while, Copier L stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier M continued printing during this time. At 4 p.m., the total number of letters printed during the past three hours was 8697. Express the number of letters printed by Copier L 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 L prints per min = 96 ÷ 4 = 24
Number of letters Copier M prints per min = 155 ÷ 5 = 31

From 1 p.m. to 4 p.m. = 3 h
1 h = 60 min
3 h = 180 min

Number of letters printed by Copier M in 1 h
= 180 x 31
= 5580

Number of letters printed by Copier L in 1 h
= 8697 - 5580
= 3117

Percentage of the number of letters that Copier L printed over the total number of letters printed
= ³¹¹⁷₈₆₉₇ x 100%
≈ 35.84%

Answer(s): 35.84%