Caden bought 46 more beads than Will and Will bought 28 beads more than Simon. The total number of beads Caden and Will bought was 4 times the number of beads Simon bought.
- How many beads does Caden need to give Will so that they have the same number of beads?
- How many beads did all three of them have altogether?
(a)
Since Caden had 46 beads more than Will, Caden needed to give half of his extra beads to Will.
Number of beads that Caden needs to give to Will
= 46 ÷ 2
= 23
(b)
Number of beads that Simon bought = 1 u
Number of beads that Will bought = 1 u + 28
Number of beads that Caden bought
= 1 u + 28 + 46
= 1 u + 74
Number of beads that Will and Caden bought
= 1 u + 28 + 1 u + 74
= 2 u + 102
Total number of beads that Caden and Will bought is 4 times the number that Simon bought.
Number of beads that Will and Caden bought = 4 u
4 u = 2 u + 102
4 u - 2 u = 102
2 u = 102
1 u = 102 ÷ 2 = 51
Total number of beads
= 4 u + 1 u
= 5 u
= 5 x 51
= 255
Answer(s): (a) 23; (b) 255
