Copier X prints at a rate of 108 brochures in every 2 minutes and Copier Y prints at a rate of 155 brochures in every 5 minutes. At 3 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 6 p.m., the total number of brochures printed during the past three hours was 8199. Express the number of brochures printed by Copier X as a percentage of the total number of brochures printed by both copiers. Round off your answer to 2 decimal places.
Number of brochures Copier X prints per min = 108 ÷ 2 = 54
Number of brochures Copier Y prints per min = 155 ÷ 5 = 31

From 3 p.m. to 6 p.m. = 3 h
1 h = 60 min
3 h = 180 min

Number of brochures printed by Copier Y in 3 h
= 180 x 31
= 5580

Number of brochures printed by Copier X in 3 h
= 8199 - 5580
= 2619

Percentage of the number of brochures that Copier X printed over the total number of brochures printed
= ²⁶¹⁹₈₁₉₉ x 100%
≈ 31.94%

Answer(s): 31.94%