The average weekly number of toy planes produced by Factory X and Y is 3685. The average weekly number of toy planes produced by Factory X and Z is 6954. If Factory Y produced ²₉ as many toy planes as Factory Z each week, how many toy planes does Factory X produce weekly?
Total toy planes that Factory X and Factory Y produced
= 3685 x 2
= 7370

Total toy planes that Factory X and Factory Z produced
= 6954 x 2
= 13908

Number of toy planes produced by Factory Y = 2 u
Number of toy planes produced by Factory Z = 9 u

Factory X's toys + 2 u = 7370 --- (1)
Factory X's toys + 9 u = 13908 --- (2)

(2) - (1)
9 u - 2 u = 13908 - 7370
7 u = 6538
1 u = 6538 ÷ 7 = 934

Number of toy planes produced by Y
= 2 u
= 2 x 934
= 1868

Number of toy planes produced by X
= 7370 - 1868
= 5502

Answer(s): 5502