Copier X prints at a rate of 96 letters in every 2 minutes and Copier Y prints at a rate of 145 letters in every 5 minutes. At 2 p.m., both copiers started printing. After a while, Copier X stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier Y continued printing during this time. At 4 p.m., the total number of letters printed during the past two hours was 7922. Express the number of letters printed by Copier X 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 X prints per min = 96 ÷ 2 = 48
Number of letters Copier Y prints per min = 145 ÷ 5 = 29

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

Number of letters printed by Copier Y in 2 h
= 120 x 29
= 3480

Number of letters printed by Copier X in 2 h
= 7922 - 3480
= 4442

Percentage of the number of letters that Copier X printed over the total number of letters printed
= ⁴⁴⁴²₇₉₂₂ x 100%
≈ 56.07%

Answer(s): 56.07%