3 children have a total of $2950.
Charlie has $160 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 + 160
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 160
= 5 u + 160
5 u + 160 = 2950
5 u = 2950 - 160 = 2790
5 u = 2790
1 u = 2790 ÷ 5 = 558
Amount that Charlie has
= 2 u + 160
= 2 x 558 + 160
= 1116 + 160
= $1276
(b)
Amount that Adam has
= 2 u
= $1116
(c)
Amount that Bryan has
= 1 u
= $558
Answer(s): (a) $1276; (b) $1116; (c) $558