3 children have a total of $1100.
Charlie has $280 more than Bryan.
Bryan has 2 times as much as Adam.
- How much does Charlie have?
- How much does Bryan have?
- How much does Adam have?
(a)
Choose the person with least money to be 1 u.
Amount that Adam has = 1 u
Amount that Bryan has = 2 u
Amount that Charlie has = 2 u + 280
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 280
= 5 u + 280
5 u + 280 = 1100
5 u = 1100 - 280 = 820
5 u = 820
1 u = 820 ÷ 5 = 164
Amount that Charlie has
= 2 u + 280
= 2 x 164 + 280
= 328 + 280
= $608
(b)
Amount that Bryan has
= 2 u
= $328
(c)
Amount that Adam has
= 1 u
= $164
Answer(s): (a) $608; (b) $328; (c) $164