3 children have a total of 1100 stickers.
Charlie has 3 times as many stickers as Adam.
Bryan has 400 stickers more stickers than Adam.
- How many stickers do Charlie and Adam have?
- How many stickers does Adam have less than Charlie?
- How many stickers does Adam have less than Charlie and Bryan?
(a)
Choose the person with least stickers to be 1 u.
Number of stickers that Adam has = 1 u
Number of stickers that Charlie has = 3 u = 3 u
Number of stickers that Bryan has = 1 u + 400
Total number of stickers
= 1 u + 3 u + 1 u + 400
= 5 u + 400
5 u + 400 = 1100
5 u = 1100 - 400
5 u = 700
1 u = 700 ÷ 5 = 140
Number of stickers that Charlie and Adam have
= 3 u + 1 u
= 4 u
= 4 x 140
= 560
(b)
Number of stickers that Adam has less than Charlie
= 3 u - 1u
= 2 u
= 2 x 140
= 280
(c)
Number of stickers that Adam has less than Charlie and Bryan
= (3 u + 1 u + 400) - 1 u
= 3 u + 400
= 3 x 140 + 400
= 420 + 400
= 820
Answer(s); (a) 560; (b) 280; (c) 820