3 children have a total of $3000.
Charlie has $430 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 + 430
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 430
= 5 u + 430
5 u + 430 = 3000
5 u = 3000 - 430 = 2570
5 u = 2570
1 u = 2570 ÷ 5 = 514
Amount that Charlie has
= 2 u + 430
= 2 x 514 + 430
= 1028 + 430
= $1458
(b)
Amount that Bryan has
= 2 u
= $1028
(c)
Amount that Adam has
= 1 u
= $514
Answer(s): (a) $1458; (b) $1028; (c) $514