Jenson had some coins. He gave ²₃ of his coins to Rael and bought 4 new coins. After that, he gave ⁴₉ of his remaining coins to his cousin and bought another 7 new coins. In the end, Jenson had 27 coins.

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

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

⁵₉ of his remaining coins = 27 - 7 = 20
¹₉ of his remaining coins = 20 ÷ 5 = 4
⁴₉ of his remaining coins = 4 x 4 = 16

Number of coins that Jenson gave to his cousin = 16

(b)
⁹₉ of his remaining coins = 9 x 4 = 36

Fraction of his total coins after he gave to Rael
= 1 - ²₃
= ¹₃

¹₃ of his total coins = 36 - 4 = 32
³₃ of his total coins = 3 x 32 = 96

Number of coins that Jenson had at first = 96 

Answer(s): (a) 16; (b) 96