The average weekly number of toy helicopters produced by Factory P and Q is 3454. The average weekly number of toy helicopters produced by Factory P and R is 6234. If Factory Q produced ⁴₉ as many toy helicopters as Factory R each week, how many toy helicopters does Factory P produce weekly?
Total toy helicopters that Factory P and Factory Q produced
= 3454 x 2
= 6908

Total toy helicopters that Factory P and Factory R produced
= 6234 x 2
= 12468

Number of toy helicopters produced by Factory Q = 4 u
Number of toy helicopters produced by Factory R = 9 u

Factory P's toys + 4 u = 6908 --- (1)
Factory P's toys + 9 u = 12468 --- (2)

(2) - (1)
9 u - 4 u = 12468 - 6908
5 u = 5560
1 u = 5560 ÷ 5 = 1112

Number of toy helicopters produced by Q
= 4 u
= 4 x 1112
= 4448

Number of toy helicopters produced by P
= 6908 - 4448
= 2460

Answer(s): 2460