The average weekly number of robots produced by Factory P and Q is 3477. The average weekly number of robots produced by Factory P and R is 6865. If Factory Q produced ²₉ as many robots as Factory R each week, how many robots does Factory P produce weekly?
Total robots that Factory P and Factory Q produced
= 3477 x 2
= 6954

Total robots that Factory P and Factory R produced
= 6865 x 2
= 13730

Number of robots produced by Factory Q = 2 u
Number of robots produced by Factory R = 9 u

Factory P's toys + 2 u = 6954 --- (1)
Factory P's toys + 9 u = 13730 --- (2)

(2) - (1)
9 u - 2 u = 13730 - 6954
7 u = 6776
1 u = 6776 ÷ 7 = 968

Number of robots produced by Q
= 2 u
= 2 x 968
= 1936

Number of robots produced by P
= 6954 - 1936
= 5018

Answer(s): 5018