3 children have a total of 2000 stickers.
Charlie has 2 times as many stickers as Adam.
Bryan has 100 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 = 2 u = 2 u
Number of stickers that Bryan has = 1 u + 100
Total number of stickers
= 1 u + 2 u + 1 u + 100
= 4 u + 100
4 u + 100 = 2000
4 u = 2000 - 100
4 u = 1900
1 u = 1900 ÷ 4 = 475
Number of stickers that Charlie and Adam have
= 2 u + 1 u
= 3 u
= 3 x 475
= 1425
(b)
Number of stickers that Adam has less than Charlie
= 2 u - 1u
= 1 u
= 1 x 475
= 475
(c)
Number of stickers that Adam has less than Charlie and Bryan
= (2 u + 1 u + 100) - 1 u
= 2 u + 100
= 2 x 475 + 100
= 950 + 100
= 1050
Answer(s); (a) 1425; (b) 475; (c) 1050