Reggie bought 44 more beads than Glen and Glen bought 24 beads more than Jane. The total number of beads Reggie and Glen bought was 6 times the number of beads Jane bought.
- How many beads does Reggie need to give Glen so that they have the same number of beads?
- How many beads did all three of them have altogether?
Reggie |
Glen |
Jane |
1 u + 24 + 44 |
1 u + 24 |
1 u |
6 u |
1 u |
(a)
Number of beads that Reggie needs to give Glen so that they have same number of beads
= 44 ÷ 2
= 22
(b)
Total number of beads that Reggie and Glen had
= 1 u + 24 + 44 + 1 u + 24
= 1 u + 1 u + 24 + 44 + 24
= 2 u + 92
6 u = 2 u + 92
6 u - 2 u = 92
4 u = 92
1 u = 92 ÷ 4 = 23
Total number of beads that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 23
= 161
Answer(s): (a) 22; (b) 161