Copier L prints at a rate of 84 letters in every 2 minutes and Copier M prints at a rate of 150 letters in every 5 minutes. At 4 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 6 p.m., the total number of letters printed during the past two hours was 6656. 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 = 84 ÷ 2 = 42
Number of letters Copier M prints per min = 150 ÷ 5 = 30

From 4 p.m. to 6 p.m. = 2 h
1 h = 60 min
2 h = 120 min

Number of letters printed by Copier M in 4 h
= 120 x 30
= 3600

Number of letters printed by Copier L in 4 h
= 6656 - 3600
= 3056

Percentage of the number of letters that Copier L printed over the total number of letters printed
= ³⁰⁵⁶₆₆₅₆ x 100%
≈ 45.91%

Answer(s): 45.91%