The average weekly number of toy cars produced by Factory K and L is 3286. The average weekly number of toy cars produced by Factory K and M is 6324. If Factory L produced ²₉ as many toy cars as Factory M each week, how many toy cars does Factory K produce weekly?
Total toy cars that Factory K and Factory L produced
= 3286 x 2
= 6572

Total toy cars that Factory K and Factory M produced
= 6324 x 2
= 12648

Number of toy cars produced by Factory L = 2 u
Number of toy cars produced by Factory M = 9 u

Factory K's toys + 2 u = 6572 --- (1)
Factory K's toys + 9 u = 12648 --- (2)

(2) - (1)
9 u - 2 u = 12648 - 6572
7 u = 6076
1 u = 6076 ÷ 7 = 868

Number of toy cars produced by L
= 2 u
= 2 x 868
= 1736

Number of toy cars produced by K
= 6572 - 1736
= 4836

Answer(s): 4836