3 children have a total of $1790.
Bryan has $400 more than Adam.
Adam has 2 times as much as Charlie.
- How much does Bryan have?
- How much does Adam have?
- How much does Charlie have?
(a)
Choose the person with least money to be 1 u.
Amount that Charlie has = 1 u
Amount that Adam has = 2 u
Amount that Bryan has = 2 u + 400
Total amount that Bryan, Adam and Charlie
= 1 u + 2 u + 2 u + 400
= 5 u + 400
5 u + 400 = 1790
5 u = 1790 - 400 = 1390
5 u = 1390
1 u = 1390 ÷ 5 = 278
Amount that Bryan has
= 2 u + 400
= 2 x 278 + 400
= 556 + 400
= $956
(b)
Amount that Adam has
= 2 u
= $556
(c)
Amount that Charlie has
= 1 u
= $278
Answer(s): (a) $956; (b) $556; (c) $278