The average weekly number of toy cars produced by Factory X and Y is 3702. The average weekly number of toy cars produced by Factory X and Z is 6637. If Factory Y produced ⁴₉ as many toy cars as Factory Z each week, how many toy cars does Factory X produce weekly?
Total toy cars that Factory X and Factory Y produced
= 3702 x 2
= 7404

Total toy cars that Factory X and Factory Z produced
= 6637 x 2
= 13274

Number of toy cars produced by Factory Y = 4 u
Number of toy cars produced by Factory Z = 9 u

Factory X's toys + 4 u = 7404 --- (1)
Factory X's toys + 9 u = 13274 --- (2)

(2) - (1)
9 u - 4 u = 13274 - 7404
5 u = 5870
1 u = 5870 ÷ 5 = 1174

Number of toy cars produced by Y
= 4 u
= 4 x 1174
= 4696

Number of toy cars produced by X
= 7404 - 4696
= 2708

Answer(s): 2708