3 children have a total of $1670.
Bryan has $460 more than Adam.
Adam has 2 times as much as Charlie.
- How much does Bryan have?
- How much does Adam have?
- How much does Charlie have?
(a)
Choose the person with least money to be 1 u.
Amount that Charlie has = 1 u
Amount that Adam has = 2 u
Amount that Bryan has = 2 u + 460
Total amount that Bryan, Adam and Charlie
= 1 u + 2 u + 2 u + 460
= 5 u + 460
5 u + 460 = 1670
5 u = 1670 - 460 = 1210
5 u = 1210
1 u = 1210 ÷ 5 = 242
Amount that Bryan has
= 2 u + 460
= 2 x 242 + 460
= 484 + 460
= $944
(b)
Amount that Adam has
= 2 u
= $484
(c)
Amount that Charlie has
= 1 u
= $242
Answer(s): (a) $944; (b) $484; (c) $242