Pierre bought 48 more stickers than Harry and Harry bought 30 stickers more than Oliver. The total number of stickers Pierre and Harry bought was 6 times the number of stickers Oliver bought.
- How many stickers does Pierre need to give Harry so that they have the same number of stickers?
- How many stickers did all three of them have altogether?
(a)
Since Pierre had 48 stickers more than Harry, Pierre needed to give half of his extra stickers to Harry.
Number of stickers that Pierre needs to give to Harry
= 48 ÷ 2
= 24
(b)
Number of stickers that Oliver bought = 1 u
Number of stickers that Harry bought = 1 u + 30
Number of stickers that Pierre bought
= 1 u + 30 + 48
= 1 u + 78
Number of stickers that Harry and Pierre bought
= 1 u + 30 + 1 u + 78
= 2 u + 108
Total number of stickers that Pierre and Harry bought is 6 times the number that Oliver bought.
Number of stickers that Harry and Pierre bought = 6 u
6 u = 2 u + 108
6 u - 2 u = 108
4 u = 108
1 u = 108 ÷ 4 = 27
Total number of stickers
= 6 u + 1 u
= 7 u
= 7 x 27
= 189
Answer(s): (a) 24; (b) 189