Copier S prints at a rate of 90 letters in every 2 minutes and Copier T prints at a rate of 135 letters in every 5 minutes. At 3 p.m., both copiers started printing. After a while, Copier S stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier T continued printing during this time. At 5 p.m., the total number of letters printed during the past two hours was 5926. Express the number of letters printed by Copier S 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 S prints per min = 90 ÷ 2 = 45
Number of letters Copier T prints per min = 135 ÷ 5 = 27

From 3 p.m. to 5 p.m. = 2 h
1 h = 60 min
2 h = 120 min

Number of letters printed by Copier T in 3 h
= 120 x 27
= 3240

Number of letters printed by Copier S in 3 h
= 5926 - 3240
= 2686

Percentage of the number of letters that Copier S printed over the total number of letters printed
= ²⁶⁸⁶₅₉₂₆ x 100%
≈ 45.33%

Answer(s): 45.33%