3 children have a total of 1100 stickers.
Bryan has 2 times as many stickers as Adam.
Charlie has 200 stickers more stickers than Adam.
- How many stickers do Bryan and Adam have?
- How many stickers does Adam have less than Bryan?
- How many stickers does Adam have less than Bryan and Charlie?
(a)
Choose the person with least stickers to be 1 u.
Number of stickers that Adam has = 1 u
Number of stickers that Bryan has = 2 u = 2 u
Number of stickers that Charlie has = 1 u + 200
Total number of stickers
= 1 u + 2 u + 1 u + 200
= 4 u + 200
4 u + 200 = 1100
4 u = 1100 - 200
4 u = 900
1 u = 900 ÷ 4 = 225
Number of stickers that Bryan and Adam have
= 2 u + 1 u
= 3 u
= 3 x 225
= 675
(b)
Number of stickers that Adam has less than Bryan
= 2 u - 1u
= 1 u
= 1 x 225
= 225
(c)
Number of stickers that Adam has less than Bryan and Charlie
= (2 u + 1 u + 200) - 1 u
= 2 u + 200
= 2 x 225 + 200
= 450 + 200
= 650
Answer(s); (a) 675; (b) 225; (c) 650