3 children have a total of 1200 stickers.
Bryan has 2 times as many stickers as Charlie.
Adam has 100 stickers more stickers than Charlie.
- How many stickers do Bryan and Charlie have?
- How many stickers does Charlie have less than Bryan?
- How many stickers does Charlie have less than Bryan and Adam?
(a)
Choose the person with least stickers to be 1 u.
Number of stickers that Charlie has = 1 u
Number of stickers that Bryan has = 2 u = 2 u
Number of stickers that Adam has = 1 u + 100
Total number of stickers
= 1 u + 2 u + 1 u + 100
= 4 u + 100
4 u + 100 = 1200
4 u = 1200 - 100
4 u = 1100
1 u = 1100 ÷ 4 = 275
Number of stickers that Bryan and Charlie have
= 2 u + 1 u
= 3 u
= 3 x 275
= 825
(b)
Number of stickers that Charlie has less than Bryan
= 2 u - 1u
= 1 u
= 1 x 275
= 275
(c)
Number of stickers that Charlie has less than Bryan and Adam
= (2 u + 1 u + 100) - 1 u
= 2 u + 100
= 2 x 275 + 100
= 550 + 100
= 650
Answer(s); (a) 825; (b) 275; (c) 650