3 children have a total of $3170.
Charlie has $120 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 + 120
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 120
= 5 u + 120
5 u + 120 = 3170
5 u = 3170 - 120 = 3050
5 u = 3050
1 u = 3050 ÷ 5 = 610
Amount that Charlie has
= 2 u + 120
= 2 x 610 + 120
= 1220 + 120
= $1340
(b)
Amount that Adam has
= 2 u
= $1220
(c)
Amount that Bryan has
= 1 u
= $610
Answer(s): (a) $1340; (b) $1220; (c) $610