Sean bought 72 more beads than Glen and Glen bought 17 beads more than Kimberly. The total number of beads Sean and Glen bought was 4 times the number of beads Kimberly bought.
- How many beads does Sean need to give Glen so that they have the same number of beads?
- How many beads did all three of them have altogether?
Sean |
Glen |
Kimberly |
1 u + 17 + 72 |
1 u + 17 |
1 u |
4 u |
1 u |
(a)
Number of beads that Sean needs to give Glen so that they have same number of beads
= 72 ÷ 2
= 36
(b)
Total number of beads that Sean and Glen had
= 1 u + 17 + 72 + 1 u + 17
= 1 u + 1 u + 17 + 72 + 17
= 2 u + 106
4 u = 2 u + 106
4 u - 2 u = 106
2 u = 106
1 u = 106 ÷ 2 = 53
Total number of beads that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 53
= 265
Answer(s): (a) 36; (b) 265