3 children have a total of $1380.
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 = 1380
9 u = 1380 - 120 = 1260
9 u = 1260
1 u = 1260 ÷ 9 = 140
Amount that Bryan has
= 4 u + 120
= 4 x 140 + 120
= 560 + 120
= $680
(b)
Amount that Charlie has
= 4 u
= $560
(c)
Amount that Adam has
= 1 u
= $140
Answer(s): (a) $680; (b) $560; (c) $140