3 children have a total of 1900 stickers.
Adam has 3 times as many stickers as Charlie.
Bryan has 500 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 = 3 u = 3 u
Number of stickers that Bryan has = 1 u + 500
Total number of stickers
= 1 u + 3 u + 1 u + 500
= 5 u + 500
5 u + 500 = 1900
5 u = 1900 - 500
5 u = 1400
1 u = 1400 ÷ 5 = 280
Number of stickers that Adam and Charlie have
= 3 u + 1 u
= 4 u
= 4 x 280
= 1120
(b)
Number of stickers that Charlie has less than Adam
= 3 u - 1u
= 2 u
= 2 x 280
= 560
(c)
Number of stickers that Charlie has less than Adam and Bryan
= (3 u + 1 u + 500) - 1 u
= 3 u + 500
= 3 x 280 + 500
= 840 + 500
= 1340
Answer(s); (a) 1120; (b) 560; (c) 1340