Betty has 9 beads fewer than Jen but 39 beads more than Henry. The three children have 171 beads altogether.
- How many beads does Henry have?
- How many beads does Jen have?
(a)
Number of beads Jen has = 1 u
Number of beads Betty has = 1 u - 9
Number of beads Henry has = 1 u - 9 - 39 = 1 u - 48
Total number of beads
= 1 u + 1 u - 9 + 1 u - 48
= 3 u - 57
3 u - 57 = 171
3 u = 171 + 57
3 u = 228
1 u = 228 ÷ 3 = 76
Number of beads that Henry has
= 1 u - 48
= 76 - 48
= 28
(b)
Number of beads that Jen has
= 1 u
= 76
Answer(s): (a) 28; (b) 76