Zane had some beads. He gave
23 of his beads to John and bought 4 new beads. After that, he gave
35 of his remaining beads to his cousin and bought another 7 new beads. In the end, Zane had 21 beads.
- How many beads did Zane give to his cousin?
- How many beads did Zane have at first?
(a)
Fraction of his remaining beads after he gave to his cousin
= 1 -
35=
25 25 of his remaining beads = 21 - 7 = 14
15 of his remaining beads = 14 ÷ 2 = 7
35 of his remaining beads = 3 x 7 = 21
Number of beads that Zane gave to his cousin = 21
(b)
55 of his remaining beads = 5 x 7 = 35
Fraction of his total beads after he gave to John
= 1 -
23=
13 13 of his total beads = 35 - 4 = 31
33 of his total beads = 3 x 31 = 93
Number of beads that Zane had at first = 93
Answer(s): (a) 21; (b) 93