3 children have a total of $2730.
Bryan has $280 more than Charlie.
Charlie has 2 times as much as Adam.
- How much does Bryan have?
- How much does Charlie 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 Charlie has = 2 u
Amount that Bryan has = 2 u + 280
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 280
= 5 u + 280
5 u + 280 = 2730
5 u = 2730 - 280 = 2450
5 u = 2450
1 u = 2450 ÷ 5 = 490
Amount that Bryan has
= 2 u + 280
= 2 x 490 + 280
= 980 + 280
= $1260
(b)
Amount that Charlie has
= 2 u
= $980
(c)
Amount that Adam has
= 1 u
= $490
Answer(s): (a) $1260; (b) $980; (c) $490