The average weekly number of toy planes produced by Factory N and P is 3361. The average weekly number of toy planes produced by Factory N and Q is 6316. If Factory P produced ⁴₉ as many toy planes as Factory Q each week, how many toy planes does Factory N produce weekly?
Total toy planes that Factory N and Factory P produced
= 3361 x 2
= 6722

Total toy planes that Factory N and Factory Q produced
= 6316 x 2
= 12632

Number of toy planes produced by Factory P = 4 u
Number of toy planes produced by Factory Q = 9 u

Factory N's toys + 4 u = 6722 --- (1)
Factory N's toys + 9 u = 12632 --- (2)

(2) - (1)
9 u - 4 u = 12632 - 6722
5 u = 5910
1 u = 5910 ÷ 5 = 1182

Number of toy planes produced by P
= 4 u
= 4 x 1182
= 4728

Number of toy planes produced by N
= 6722 - 4728
= 1994

Answer(s): 1994