3 children have a total of 2100 stickers.
Adam has 3 times as many stickers as Bryan.
Charlie has 400 stickers more stickers than Bryan.
- How many stickers do Adam and Bryan have?
- How many stickers does Bryan have less than Adam?
- How many stickers does Bryan have less than Adam and Charlie?
(a)
Choose the person with least stickers to be 1 u.
Number of stickers that Bryan has = 1 u
Number of stickers that Adam has = 3 u = 3 u
Number of stickers that Charlie has = 1 u + 400
Total number of stickers
= 1 u + 3 u + 1 u + 400
= 5 u + 400
5 u + 400 = 2100
5 u = 2100 - 400
5 u = 1700
1 u = 1700 ÷ 5 = 340
Number of stickers that Adam and Bryan have
= 3 u + 1 u
= 4 u
= 4 x 340
= 1360
(b)
Number of stickers that Bryan has less than Adam
= 3 u - 1u
= 2 u
= 2 x 340
= 680
(c)
Number of stickers that Bryan has less than Adam and Charlie
= (3 u + 1 u + 400) - 1 u
= 3 u + 400
= 3 x 340 + 400
= 1020 + 400
= 1420
Answer(s); (a) 1360; (b) 680; (c) 1420