3 children have a total of $4660.
Bryan has $460 more than Charlie.
Charlie has 2 times as much as Adam.
- How much does Bryan have?
- How much does Charlie 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 Charlie has = 2 u
Amount that Bryan has = 2 u + 460
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 460
= 5 u + 460
5 u + 460 = 4660
5 u = 4660 - 460 = 4200
5 u = 4200
1 u = 4200 ÷ 5 = 840
Amount that Bryan has
= 2 u + 460
= 2 x 840 + 460
= 1680 + 460
= $2140
(b)
Amount that Charlie has
= 2 u
= $1680
(c)
Amount that Adam has
= 1 u
= $840
Answer(s): (a) $2140; (b) $1680; (c) $840