3 children have a total of 1700 stickers.
Bryan has 3 times as many stickers as Charlie.
Adam has 900 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 = 3 u = 3 u
Number of stickers that Adam has = 1 u + 900
Total number of stickers
= 1 u + 3 u + 1 u + 900
= 5 u + 900
5 u + 900 = 1700
5 u = 1700 - 900
5 u = 800
1 u = 800 ÷ 5 = 160
Number of stickers that Bryan and Charlie have
= 3 u + 1 u
= 4 u
= 4 x 160
= 640
(b)
Number of stickers that Charlie has less than Bryan
= 3 u - 1u
= 2 u
= 2 x 160
= 320
(c)
Number of stickers that Charlie has less than Bryan and Adam
= (3 u + 1 u + 900) - 1 u
= 3 u + 900
= 3 x 160 + 900
= 480 + 900
= 1380
Answer(s); (a) 640; (b) 320; (c) 1380