Albert had some beads. He gave ⁶₇ of his beads to Neave and bought 4 new beads. After that, he gave ²₅ of his remaining beads to his brother and bought another 7 new beads. In the end, Albert had 25 beads.

1. How many beads did Albert give to his brother?
2. How many beads did Albert have at first?

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

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

Number of beads that Albert gave to his brother = 12

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

Fraction of his total beads after he gave to Neave
= 1 - ⁶₇
= ¹₇

¹₇ of his total beads = 30 - 4 = 26
⁷₇ of his total beads = 7 x 26 = 182

Number of beads that Albert had at first = 182 

Answer(s): (a) 12; (b) 182