3 children have a total of $2470.
Charlie has $440 more than Adam.
Adam has 2 times as much as Bryan.
- How much does Charlie have?
- How much does Adam 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 Adam has = 2 u
Amount that Charlie has = 2 u + 440
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 440
= 5 u + 440
5 u + 440 = 2470
5 u = 2470 - 440 = 2030
5 u = 2030
1 u = 2030 ÷ 5 = 406
Amount that Charlie has
= 2 u + 440
= 2 x 406 + 440
= 812 + 440
= $1252
(b)
Amount that Adam has
= 2 u
= $812
(c)
Amount that Bryan has
= 1 u
= $406
Answer(s): (a) $1252; (b) $812; (c) $406