Zoe has 4 beads fewer than Cathy but 18 beads more than Henry. The three children have 283 beads altogether.
- How many beads does Henry have?
- How many beads does Cathy have?
(a)
Number of beads Cathy has = 1 u
Number of beads Zoe has = 1 u - 4
Number of beads Henry has = 1 u - 4 - 18 = 1 u - 22
Total number of beads
= 1 u + 1 u - 4 + 1 u - 22
= 3 u - 26
3 u - 26 = 283
3 u = 283 + 26
3 u = 309
1 u = 309 ÷ 3 = 103
Number of beads that Henry has
= 1 u - 22
= 103 - 22
= 81
(b)
Number of beads that Cathy has
= 1 u
= 103
Answer(s): (a) 81; (b) 103
