3 children have a total of $2180.
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 = 2180
5 u = 2180 - 370 = 1810
5 u = 1810
1 u = 1810 ÷ 5 = 362
Amount that Charlie has
= 2 u + 370
= 2 x 362 + 370
= 724 + 370
= $1094
(b)
Amount that Bryan has
= 2 u
= $724
(c)
Amount that Adam has
= 1 u
= $362
Answer(s): (a) $1094; (b) $724; (c) $362