The average weekly number of toy trains produced by Factory M and N is 3808. The average weekly number of toy trains produced by Factory M and P is 6370. If Factory N produced ⁴₇ as many toy trains as Factory P each week, how many toy trains does Factory M produce weekly?
Total toy trains that Factory M and Factory N produced
= 3808 x 2
= 7616

Total toy trains that Factory M and Factory P produced
= 6370 x 2
= 12740

Number of toy trains produced by Factory N = 4 u
Number of toy trains produced by Factory P = 7 u

Factory M's toys + 4 u = 7616 --- (1)
Factory M's toys + 7 u = 12740 --- (2)

(2) - (1)
7 u - 4 u = 12740 - 7616
3 u = 5124
1 u = 5124 ÷ 3 = 1708

Number of toy trains produced by N
= 4 u
= 4 x 1708
= 6832

Number of toy trains produced by M
= 7616 - 6832
= 784

Answer(s): 784