3 children have a total of 700 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 = 700
4 u = 700 - 100
4 u = 600
1 u = 600 ÷ 4 = 150
Number of stickers that Bryan and Charlie have
= 2 u + 1 u
= 3 u
= 3 x 150
= 450
(b)
Number of stickers that Charlie has less than Bryan
= 2 u - 1u
= 1 u
= 1 x 150
= 150
(c)
Number of stickers that Charlie has less than Bryan and Adam
= (2 u + 1 u + 100) - 1 u
= 2 u + 100
= 2 x 150 + 100
= 300 + 100
= 400
Answer(s); (a) 450; (b) 150; (c) 400