The average weekly number of toy planes produced by Factory Z and A is 3203. The average weekly number of toy planes produced by Factory Z and B is 6500. If Factory A produced ²₉ as many toy planes as Factory B each week, how many toy planes does Factory Z produce weekly?
Total toy planes that Factory Z and Factory A produced
= 3203 x 2
= 6406

Total toy planes that Factory Z and Factory B produced
= 6500 x 2
= 13000

Number of toy planes produced by Factory A = 2 u
Number of toy planes produced by Factory B = 9 u

Factory Z's toys + 2 u = 6406 --- (1)
Factory Z's toys + 9 u = 13000 --- (2)

(2) - (1)
9 u - 2 u = 13000 - 6406
7 u = 6594
1 u = 6594 ÷ 7 = 942

Number of toy planes produced by A
= 2 u
= 2 x 942
= 1884

Number of toy planes produced by Z
= 6406 - 1884
= 4522

Answer(s): 4522