3 children have a total of $2500.
Charlie has $410 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 + 410
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 410
= 5 u + 410
5 u + 410 = 2500
5 u = 2500 - 410 = 2090
5 u = 2090
1 u = 2090 ÷ 5 = 418
Amount that Charlie has
= 2 u + 410
= 2 x 418 + 410
= 836 + 410
= $1246
(b)
Amount that Bryan has
= 2 u
= $836
(c)
Amount that Adam has
= 1 u
= $418
Answer(s): (a) $1246; (b) $836; (c) $418