The average weekly number of toy helicopters produced by Factory L and M is 3870. The average weekly number of toy helicopters produced by Factory L and N is 6765. If Factory M produced ⁴₉ as many toy helicopters as Factory N each week, how many toy helicopters does Factory L produce weekly?
Total toy helicopters that Factory L and Factory M produced
= 3870 x 2
= 7740

Total toy helicopters that Factory L and Factory N produced
= 6765 x 2
= 13530

Number of toy helicopters produced by Factory M = 4 u
Number of toy helicopters produced by Factory N = 9 u

Factory L's toys + 4 u = 7740 --- (1)
Factory L's toys + 9 u = 13530 --- (2)

(2) - (1)
9 u - 4 u = 13530 - 7740
5 u = 5790
1 u = 5790 ÷ 5 = 1158

Number of toy helicopters produced by M
= 4 u
= 4 x 1158
= 4632

Number of toy helicopters produced by L
= 7740 - 4632
= 3108

Answer(s): 3108