3 children have a total of 2100 stickers.
Bryan has 2 times as many stickers as Adam.
Charlie has 100 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 + 100
Total number of stickers
= 1 u + 2 u + 1 u + 100
= 4 u + 100
4 u + 100 = 2100
4 u = 2100 - 100
4 u = 2000
1 u = 2000 ÷ 4 = 500
Number of stickers that Bryan and Adam have
= 2 u + 1 u
= 3 u
= 3 x 500
= 1500
(b)
Number of stickers that Adam has less than Bryan
= 2 u - 1u
= 1 u
= 1 x 500
= 500
(c)
Number of stickers that Adam has less than Bryan and Charlie
= (2 u + 1 u + 100) - 1 u
= 2 u + 100
= 2 x 500 + 100
= 1000 + 100
= 1100
Answer(s); (a) 1500; (b) 500; (c) 1100