Flynn had some coins. He gave ⁷₈ of his coins to Charlie and bought 4 new coins. After that, he gave ⁴₉ of his remaining coins to his brother and bought another 7 new coins. In the end, Flynn had 22 coins.

1. How many coins did Flynn give to his brother?
2. How many coins did Flynn have at first?

(a)
Fraction of  his remaining coins after he gave to his brother
= 1 - ⁴₉
= ⁵₉

⁵₉ of his remaining coins = 22 - 7 = 15
¹₉ of his remaining coins = 15 ÷ 5 = 3
⁴₉ of his remaining coins = 4 x 3 = 12

Number of coins that Flynn gave to his brother = 12

(b)
⁹₉ of his remaining coins = 9 x 3 = 27

Fraction of his total coins after he gave to Charlie
= 1 - ⁷₈
= ¹₈

¹₈ of his total coins = 27 - 4 = 23
⁸₈ of his total coins = 8 x 23 = 184

Number of coins that Flynn had at first = 184 

Answer(s): (a) 12; (b) 184