3 children have a total of $1690.
Bryan has $320 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 + 320
Total amount that Bryan, Adam and Charlie
= 1 u + 2 u + 2 u + 320
= 5 u + 320
5 u + 320 = 1690
5 u = 1690 - 320 = 1370
5 u = 1370
1 u = 1370 ÷ 5 = 274
Amount that Bryan has
= 2 u + 320
= 2 x 274 + 320
= 548 + 320
= $868
(b)
Amount that Adam has
= 2 u
= $548
(c)
Amount that Charlie has
= 1 u
= $274
Answer(s): (a) $868; (b) $548; (c) $274