3 children have a total of $1290.
Bryan has $280 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 + 280
Total amount that Bryan, Adam and Charlie
= 1 u + 2 u + 2 u + 280
= 5 u + 280
5 u + 280 = 1290
5 u = 1290 - 280 = 1010
5 u = 1010
1 u = 1010 ÷ 5 = 202
Amount that Bryan has
= 2 u + 280
= 2 x 202 + 280
= 404 + 280
= $684
(b)
Amount that Adam has
= 2 u
= $404
(c)
Amount that Charlie has
= 1 u
= $202
Answer(s): (a) $684; (b) $404; (c) $202