3 children have a total of $1600.
Charlie has $220 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 + 220
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 220
= 5 u + 220
5 u + 220 = 1600
5 u = 1600 - 220 = 1380
5 u = 1380
1 u = 1380 ÷ 5 = 276
Amount that Charlie has
= 2 u + 220
= 2 x 276 + 220
= 552 + 220
= $772
(b)
Amount that Bryan has
= 2 u
= $552
(c)
Amount that Adam has
= 1 u
= $276
Answer(s): (a) $772; (b) $552; (c) $276