3 children have a total of $1120.
Charlie has $370 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 + 370
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 370
= 5 u + 370
5 u + 370 = 1120
5 u = 1120 - 370 = 750
5 u = 750
1 u = 750 ÷ 5 = 150
Amount that Charlie has
= 2 u + 370
= 2 x 150 + 370
= 300 + 370
= $670
(b)
Amount that Bryan has
= 2 u
= $300
(c)
Amount that Adam has
= 1 u
= $150
Answer(s): (a) $670; (b) $300; (c) $150