3 children have a total of $3540.
Bryan has $120 more than Charlie.
Charlie has 4 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 = 4 u
Amount that Bryan has = 4 u + 120
Total amount that Bryan, Charlie and Adam
= 1 u + 4 u + 4 u + 120
= 9 u + 120
9 u + 120 = 3540
9 u = 3540 - 120 = 3420
9 u = 3420
1 u = 3420 ÷ 9 = 380
Amount that Bryan has
= 4 u + 120
= 4 x 380 + 120
= 1520 + 120
= $1640
(b)
Amount that Charlie has
= 4 u
= $1520
(c)
Amount that Adam has
= 1 u
= $380
Answer(s): (a) $1640; (b) $1520; (c) $380