Copier Q prints at a rate of 90 letters in every 3 minutes and Copier R prints at a rate of 123 letters in every 3 minutes. At 1 p.m., both copiers started printing. After a while, Copier Q stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier R continued printing during this time. At 3 p.m., the total number of letters printed during the past two hours was 8823. Express the number of letters printed by Copier Q 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 Q prints per min = 90 ÷ 3 = 30
Number of letters Copier R prints per min = 123 ÷ 3 = 41

From 1 p.m. to 3 p.m. = 2 h
1 h = 60 min
2 h = 120 min

Number of letters printed by Copier R in 1 h
= 120 x 41
= 4920

Number of letters printed by Copier Q in 1 h
= 8823 - 4920
= 3903

Percentage of the number of letters that Copier Q printed over the total number of letters printed
= ³⁹⁰³₈₈₂₃ x 100%
≈ 44.24%

Answer(s): 44.24%