Sean bought 48 more beads than Bobby and Bobby bought 26 beads more than Cindy. The total number of beads Sean and Bobby bought was 4 times the number of beads Cindy bought.
- How many beads does Sean need to give Bobby so that they have the same number of beads?
- How many beads did all three of them have altogether?
Sean |
Bobby |
Cindy |
1 u + 26 + 48 |
1 u + 26 |
1 u |
4 u |
1 u |
(a)
Number of beads that Sean needs to give Bobby so that they have same number of beads
= 48 ÷ 2
= 24
(b)
Total number of beads that Sean and Bobby had
= 1 u + 26 + 48 + 1 u + 26
= 1 u + 1 u + 26 + 48 + 26
= 2 u + 100
4 u = 2 u + 100
4 u - 2 u = 100
2 u = 100
1 u = 100 ÷ 2 = 50
Total number of beads that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 50
= 250
Answer(s): (a) 24; (b) 250