The average weekly number of toy planes produced by Factory N and P is 3434. The average weekly number of toy planes produced by Factory N and Q is 7085. If Factory P produced ²₅ 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
= 3434 x 2
= 6868

Total toy planes that Factory N and Factory Q produced
= 7085 x 2
= 14170

Number of toy planes produced by Factory P = 2 u
Number of toy planes produced by Factory Q = 5 u

Factory N's toys + 2 u = 6868 --- (1)
Factory N's toys + 5 u = 14170 --- (2)

(2) - (1)
5 u - 2 u = 14170 - 6868
3 u = 7302
1 u = 7302 ÷ 3 = 2434

Number of toy planes produced by P
= 2 u
= 2 x 2434
= 4868

Number of toy planes produced by N
= 6868 - 4868
= 2000

Answer(s): 2000