3 children have a total of 2100 stickers.
Bryan has 2 times as many stickers as Adam.
Charlie has 800 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 + 800
Total number of stickers
= 1 u + 2 u + 1 u + 800
= 4 u + 800
4 u + 800 = 2100
4 u = 2100 - 800
4 u = 1300
1 u = 1300 ÷ 4 = 325
Number of stickers that Bryan and Adam have
= 2 u + 1 u
= 3 u
= 3 x 325
= 975
(b)
Number of stickers that Adam has less than Bryan
= 2 u - 1u
= 1 u
= 1 x 325
= 325
(c)
Number of stickers that Adam has less than Bryan and Charlie
= (2 u + 1 u + 800) - 1 u
= 2 u + 800
= 2 x 325 + 800
= 650 + 800
= 1450
Answer(s); (a) 975; (b) 325; (c) 1450