3 children have a total of 1100 stickers.
Charlie has 3 times as many stickers as Adam.
Bryan has 200 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 + 200
Total number of stickers
= 1 u + 3 u + 1 u + 200
= 5 u + 200
5 u + 200 = 1100
5 u = 1100 - 200
5 u = 900
1 u = 900 ÷ 5 = 180
Number of stickers that Charlie and Adam have
= 3 u + 1 u
= 4 u
= 4 x 180
= 720
(b)
Number of stickers that Adam has less than Charlie
= 3 u - 1u
= 2 u
= 2 x 180
= 360
(c)
Number of stickers that Adam has less than Charlie and Bryan
= (3 u + 1 u + 200) - 1 u
= 3 u + 200
= 3 x 180 + 200
= 540 + 200
= 740
Answer(s); (a) 720; (b) 360; (c) 740