3 children have a total of $4610.
Adam has $400 more than Charlie.
Charlie has 2 times as much as Bryan.
- How much does Adam have?
- How much does Charlie have?
- How much does Bryan have?
(a)
Choose the person with least money to be 1 u.
Amount that Bryan has = 1 u
Amount that Charlie has = 2 u
Amount that Adam has = 2 u + 400
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 400
= 5 u + 400
5 u + 400 = 4610
5 u = 4610 - 400 = 4210
5 u = 4210
1 u = 4210 ÷ 5 = 842
Amount that Adam has
= 2 u + 400
= 2 x 842 + 400
= 1684 + 400
= $2084
(b)
Amount that Charlie has
= 2 u
= $1684
(c)
Amount that Bryan has
= 1 u
= $842
Answer(s): (a) $2084; (b) $1684; (c) $842