Japheth had some stamps. He gave ⁵₆ of his stamps to Albert and bought 4 new stamps. After that, he gave ⁴₉ of his remaining stamps to his sister and bought another 7 new stamps. In the end, Japheth had 27 stamps.

1. How many stamps did Japheth give to his sister?
2. How many stamps did Japheth have at first?

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

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

Number of stamps that Japheth gave to his sister = 16

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

Fraction of his total stamps after he gave to Albert
= 1 - ⁵₆
= ¹₆

¹₆ of his total stamps = 36 - 4 = 32
⁶₆ of his total stamps = 6 x 32 = 192

Number of stamps that Japheth had at first = 192 

Answer(s): (a) 16; (b) 192