The average number of playing cards Wesley and Vaidev had was 460. The average number of playing cards Wesley and Ahmad had was 229. If the ratio of Vaidev's playing cards to Ahmad's playing cards was 9 : 2, find the number of playing cards Wesley had.
Total number of cards that Wesley and Vaidev had
= 2 x 460
= 920

Total number of cards that Wesley and Ahmad had
= 2 x 229
= 458

Number of playing cards Vaidev had = 9 u
Number of playing cards Ahmad had = 2 u

Wesley's cards + 9 u = 920 --- (1)
Wesley's cards + 2 u = 458 --- (2)

(1) - (2)
9 u - 2 u = 920 - 458
7 u = 462
1 u = 462 ÷ 7 = 66

Number of playing cards that Ahmad had
= 2 u
= 2 x 66
= 132

Number of playing cards that Wesley had
= 458 - 132
= 326

Answer(s): 326