3 children have a total of $1140.
Charlie has $180 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 + 180
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 180
= 5 u + 180
5 u + 180 = 1140
5 u = 1140 - 180 = 960
5 u = 960
1 u = 960 ÷ 5 = 192
Amount that Charlie has
= 2 u + 180
= 2 x 192 + 180
= 384 + 180
= $564
(b)
Amount that Bryan has
= 2 u
= $384
(c)
Amount that Adam has
= 1 u
= $192
Answer(s): (a) $564; (b) $384; (c) $192