Michael had
112 as many beads as Dylan. Dylan had thrice as many beads as Japheth. If Michael had 105 beads fewer than Japheth,
- how many beads did Michael have?
- how many beads did they have altogether?
(a)
Number of beads that Michael had = 1 u
Number of beads that Dylan had = 12 u
Number of beads that Japheth had = 12 u ÷ 3 = 4 u
Number of beads that Michael had fewer than Japheth
= 4 u - 1 u
= 3 u
3 u = 105
1 u = 105 ÷ 3 = 35
Number of beads that Michael had
= 1 u
= 35
(b)
Total number of beads that they had
= 1 u + 12 u + 4 u
= 17 u
= 17 x 35
= 595
Answer(s): (a) 35; (b) 595
