The average number of playing cards Vincent and Charlie had was 426. The average number of playing cards Vincent and Bryan had was 237. If the ratio of Charlie's playing cards to Bryan's playing cards was 5 : 2, find the number of playing cards Vincent had.
Total number of cards that Vincent and Charlie had
= 2 x 426
= 852

Total number of cards that Vincent and Bryan had
= 2 x 237
= 474

Number of playing cards Charlie had = 5 u
Number of playing cards Bryan had = 2 u

Vincent's cards + 5 u = 852 --- (1)
Vincent's cards + 2 u = 474 --- (2)

(1) - (2)
5 u - 2 u = 852 - 474
3 u = 378
1 u = 378 ÷ 3 = 126

Number of playing cards that Bryan had
= 2 u
= 2 x 126
= 252

Number of playing cards that Vincent had
= 474 - 252
= 222

Answer(s): 222