John had some cards. He gave ⁶₇ of his cards to Flynn and bought 4 new cards. After that, he gave ²₅ of his remaining cards to his cousin and bought another 7 new cards. In the end, John had 25 cards.

1. How many cards did John give to his cousin?
2. How many cards did John have at first?

(a)
Fraction of  his remaining cards after he gave to his cousin
= 1 - ²₅
= ³₅

³₅ of his remaining cards = 25 - 7 = 18
¹₅ of his remaining cards = 18 ÷ 3 = 6
²₅ of his remaining cards = 2 x 6 = 12

Number of cards that John gave to his cousin = 12

(b)
⁵₅ of his remaining cards = 5 x 6 = 30

Fraction of his total cards after he gave to Flynn
= 1 - ⁶₇
= ¹₇

¹₇ of his total cards = 30 - 4 = 26
⁷₇ of his total cards = 7 x 26 = 182

Number of cards that John had at first = 182 

Answer(s): (a) 12; (b) 182