Tim bought 48 more beads than Reggie and Reggie bought 29 beads more than Japheth. The total number of beads Tim and Reggie bought was 4 times the number of beads Japheth bought.
- How many beads does Tim need to give Reggie so that they have the same number of beads?
- How many beads did all three of them have altogether?
(a)
Since Tim had 48 beads more than Reggie, Tim needed to give half of his extra beads to Reggie.
Number of beads that Tim needs to give to Reggie
= 48 ÷ 2
= 24
(b)
Number of beads that Japheth bought = 1 u
Number of beads that Reggie bought = 1 u + 29
Number of beads that Tim bought
= 1 u + 29 + 48
= 1 u + 77
Number of beads that Reggie and Tim bought
= 1 u + 29 + 1 u + 77
= 2 u + 106
Total number of beads that Tim and Reggie bought is 4 times the number that Japheth bought.
Number of beads that Reggie and Tim bought = 4 u
4 u = 2 u + 106
4 u - 2 u = 106
2 u = 106
1 u = 106 ÷ 2 = 53
Total number of beads
= 4 u + 1 u
= 5 u
= 5 x 53
= 265
Answer(s): (a) 24; (b) 265
