3 children have a total of 2000 stickers.
Adam has 3 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 = 3 u = 3 u
Number of stickers that Bryan has = 1 u + 100
Total number of stickers
= 1 u + 3 u + 1 u + 100
= 5 u + 100
5 u + 100 = 2000
5 u = 2000 - 100
5 u = 1900
1 u = 1900 ÷ 5 = 380
Number of stickers that Adam and Charlie have
= 3 u + 1 u
= 4 u
= 4 x 380
= 1520
(b)
Number of stickers that Charlie has less than Adam
= 3 u - 1u
= 2 u
= 2 x 380
= 760
(c)
Number of stickers that Charlie has less than Adam and Bryan
= (3 u + 1 u + 100) - 1 u
= 3 u + 100
= 3 x 380 + 100
= 1140 + 100
= 1240
Answer(s); (a) 1520; (b) 760; (c) 1240