Simon bought 46 more stamps than Warren and Warren bought 21 stamps more than George. The total number of stamps Simon and Warren bought was 4 times the number of stamps George bought.
- How many stamps does Simon need to give Warren so that they have the same number of stamps?
- How many stamps did all three of them have altogether?
(a)
Since Simon had 46 stamps more than Warren, Simon needed to give half of his extra stamps to Warren.
Number of stamps that Simon needs to give to Warren
= 46 ÷ 2
= 23
(b)
Number of stamps that George bought = 1 u
Number of stamps that Warren bought = 1 u + 21
Number of stamps that Simon bought
= 1 u + 21 + 46
= 1 u + 67
Number of stamps that Warren and Simon bought
= 1 u + 21 + 1 u + 67
= 2 u + 88
Total number of stamps that Simon and Warren bought is 4 times the number that George bought.
Number of stamps that Warren and Simon bought = 4 u
4 u = 2 u + 88
4 u - 2 u = 88
2 u = 88
1 u = 88 ÷ 2 = 44
Total number of stamps
= 4 u + 1 u
= 5 u
= 5 x 44
= 220
Answer(s): (a) 23; (b) 220