3 children have a total of 1500 stickers.
Adam has 2 times as many stickers as Charlie.
Bryan has 100 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 + 100
Total number of stickers
= 1 u + 2 u + 1 u + 100
= 4 u + 100
4 u + 100 = 1500
4 u = 1500 - 100
4 u = 1400
1 u = 1400 ÷ 4 = 350
Number of stickers that Adam and Charlie have
= 2 u + 1 u
= 3 u
= 3 x 350
= 1050
(b)
Number of stickers that Charlie has less than Adam
= 2 u - 1u
= 1 u
= 1 x 350
= 350
(c)
Number of stickers that Charlie has less than Adam and Bryan
= (2 u + 1 u + 100) - 1 u
= 2 u + 100
= 2 x 350 + 100
= 700 + 100
= 800
Answer(s); (a) 1050; (b) 350; (c) 800