3 children have a total of $3050.
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 = 3050
5 u = 3050 - 120 = 2930
5 u = 2930
1 u = 2930 ÷ 5 = 586
Amount that Charlie has
= 2 u + 120
= 2 x 586 + 120
= 1172 + 120
= $1292
(b)
Amount that Adam has
= 2 u
= $1172
(c)
Amount that Bryan has
= 1 u
= $586
Answer(s): (a) $1292; (b) $1172; (c) $586