The average weekly number of toy cars produced by Factory D and E is 3644. The average weekly number of toy cars produced by Factory D and F is 6472. If Factory E produced ²₉ as many toy cars as Factory F each week, how many toy cars does Factory D produce weekly?
Total toy cars that Factory D and Factory E produced
= 3644 x 2
= 7288

Total toy cars that Factory D and Factory F produced
= 6472 x 2
= 12944

Number of toy cars produced by Factory E = 2 u
Number of toy cars produced by Factory F = 9 u

Factory D's toys + 2 u = 7288 --- (1)
Factory D's toys + 9 u = 12944 --- (2)

(2) - (1)
9 u - 2 u = 12944 - 7288
7 u = 5656
1 u = 5656 ÷ 7 = 808

Number of toy cars produced by E
= 2 u
= 2 x 808
= 1616

Number of toy cars produced by D
= 7288 - 1616
= 5672

Answer(s): 5672