The average weekly number of toy helicopters produced by Factory T and U is 3458. The average weekly number of toy helicopters produced by Factory T and V is 6983. If Factory U produced ⁴₉ as many toy helicopters as Factory V each week, how many toy helicopters does Factory T produce weekly?
Total toy helicopters that Factory T and Factory U produced
= 3458 x 2
= 6916

Total toy helicopters that Factory T and Factory V produced
= 6983 x 2
= 13966

Number of toy helicopters produced by Factory U = 4 u
Number of toy helicopters produced by Factory V = 9 u

Factory T's toys + 4 u = 6916 --- (1)
Factory T's toys + 9 u = 13966 --- (2)

(2) - (1)
9 u - 4 u = 13966 - 6916
5 u = 7050
1 u = 7050 ÷ 5 = 1410

Number of toy helicopters produced by U
= 4 u
= 4 x 1410
= 5640

Number of toy helicopters produced by T
= 6916 - 5640
= 1276

Answer(s): 1276