Bryan had some coins. He gave ⁵₆ of his coins to Mark and bought 4 new coins. After that, he gave ²₅ of his remaining coins to his cousin and bought another 7 new coins. In the end, Bryan had 25 coins.

1. How many coins did Bryan give to his cousin?
2. How many coins did Bryan have at first?

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

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

Number of coins that Bryan gave to his cousin = 12

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

Fraction of his total coins after he gave to Mark
= 1 - ⁵₆
= ¹₆

¹₆ of his total coins = 30 - 4 = 26
⁶₆ of his total coins = 6 x 26 = 156

Number of coins that Bryan had at first = 156 

Answer(s): (a) 12; (b) 156