Jeremy had some erasers. He gave ²₃ of his erasers to Jack and bought 4 new erasers. After that, he gave ⁵₈ of his remaining erasers to his brother and bought another 7 new erasers. In the end, Jeremy had 25 erasers.

1. How many erasers did Jeremy give to his brother?
2. How many erasers did Jeremy have at first?

(a)
Fraction of  his remaining erasers after he gave to his brother
= 1 - ⁵₈
= ³₈

³₈ of his remaining erasers = 25 - 7 = 18
¹₈ of his remaining erasers = 18 ÷ 3 = 6
⁵₈ of his remaining erasers = 5 x 6 = 30

Number of erasers that Jeremy gave to his brother = 30

(b)
⁸₈ of his remaining erasers = 8 x 6 = 48

Fraction of his total erasers after he gave to Jack
= 1 - ²₃
= ¹₃

¹₃ of his total erasers = 48 - 4 = 44
³₃ of his total erasers = 3 x 44 = 132

Number of erasers that Jeremy had at first = 132 

Answer(s): (a) 30; (b) 132