3 children have a total of $3290.
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 = 3290
5 u = 3290 - 460 = 2830
5 u = 2830
1 u = 2830 ÷ 5 = 566
Amount that Charlie has
= 2 u + 460
= 2 x 566 + 460
= 1132 + 460
= $1592
(b)
Amount that Bryan has
= 2 u
= $1132
(c)
Amount that Adam has
= 1 u
= $566
Answer(s): (a) $1592; (b) $1132; (c) $566