3 children have a total of $1050.
Bryan has $460 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 + 460
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 460
= 5 u + 460
5 u + 460 = 1050
5 u = 1050 - 460 = 590
5 u = 590
1 u = 590 ÷ 5 = 118
Amount that Bryan has
= 2 u + 460
= 2 x 118 + 460
= 236 + 460
= $696
(b)
Amount that Charlie has
= 2 u
= $236
(c)
Amount that Adam has
= 1 u
= $118
Answer(s): (a) $696; (b) $236; (c) $118