3 children have a total of $3000.
Bryan has $120 more than Charlie.
Charlie has 2 times as much as Adam.
- How much does Bryan have?
- How much does Charlie have?
- How much does Adam have?
(a)
Choose the person with least money to be 1 u.
Amount that Adam has = 1 u
Amount that Charlie has = 2 u
Amount that Bryan has = 2 u + 120
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 120
= 5 u + 120
5 u + 120 = 3000
5 u = 3000 - 120 = 2880
5 u = 2880
1 u = 2880 ÷ 5 = 576
Amount that Bryan has
= 2 u + 120
= 2 x 576 + 120
= 1152 + 120
= $1272
(b)
Amount that Charlie has
= 2 u
= $1152
(c)
Amount that Adam has
= 1 u
= $576
Answer(s): (a) $1272; (b) $1152; (c) $576