3 children have a total of $2900.
Charlie has $290 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 + 290
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 290
= 5 u + 290
5 u + 290 = 2900
5 u = 2900 - 290 = 2610
5 u = 2610
1 u = 2610 ÷ 5 = 522
Amount that Charlie has
= 2 u + 290
= 2 x 522 + 290
= 1044 + 290
= $1334
(b)
Amount that Adam has
= 2 u
= $1044
(c)
Amount that Bryan has
= 1 u
= $522
Answer(s): (a) $1334; (b) $1044; (c) $522