3 children have a total of $4950.
Charlie has $460 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 + 460
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 460
= 5 u + 460
5 u + 460 = 4950
5 u = 4950 - 460 = 4490
5 u = 4490
1 u = 4490 ÷ 5 = 898
Amount that Charlie has
= 2 u + 460
= 2 x 898 + 460
= 1796 + 460
= $2256
(b)
Amount that Bryan has
= 2 u
= $1796
(c)
Amount that Adam has
= 1 u
= $898
Answer(s): (a) $2256; (b) $1796; (c) $898