Copier W prints at a rate of 87 letters in every 3 minutes and Copier X prints at a rate of 152 letters in every 4 minutes. At 1 p.m., both copiers started printing. After a while, Copier W stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier X continued printing during this time. At 3 p.m., the total number of letters printed during the past two hours was 8306. Express the number of letters printed by Copier W 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 W prints per min = 87 ÷ 3 = 29
Number of letters Copier X prints per min = 152 ÷ 4 = 38

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

Number of letters printed by Copier X in 1 h
= 120 x 38
= 4560

Number of letters printed by Copier W in 1 h
= 8306 - 4560
= 3746

Percentage of the number of letters that Copier W printed over the total number of letters printed
= ³⁷⁴⁶₈₃₀₆ x 100%
≈ 45.10%

Answer(s): 45.10%