3 children have a total of 1300 stickers.
Adam has 2 times as many stickers as Charlie.
Bryan has 200 stickers more stickers than Charlie.
- How many stickers do Adam and Charlie have?
- How many stickers does Charlie have less than Adam?
- How many stickers does Charlie have less than Adam and Bryan?
(a)
Choose the person with least stickers to be 1 u.
Number of stickers that Charlie has = 1 u
Number of stickers that Adam has = 2 u = 2 u
Number of stickers that Bryan has = 1 u + 200
Total number of stickers
= 1 u + 2 u + 1 u + 200
= 4 u + 200
4 u + 200 = 1300
4 u = 1300 - 200
4 u = 1100
1 u = 1100 ÷ 4 = 275
Number of stickers that Adam and Charlie have
= 2 u + 1 u
= 3 u
= 3 x 275
= 825
(b)
Number of stickers that Charlie has less than Adam
= 2 u - 1u
= 1 u
= 1 x 275
= 275
(c)
Number of stickers that Charlie has less than Adam and Bryan
= (2 u + 1 u + 200) - 1 u
= 2 u + 200
= 2 x 275 + 200
= 550 + 200
= 750
Answer(s); (a) 825; (b) 275; (c) 750