3 children have a total of $1570.
Bryan has $410 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 + 410
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 410
= 5 u + 410
5 u + 410 = 1570
5 u = 1570 - 410 = 1160
5 u = 1160
1 u = 1160 ÷ 5 = 232
Amount that Bryan has
= 2 u + 410
= 2 x 232 + 410
= 464 + 410
= $874
(b)
Amount that Charlie has
= 2 u
= $464
(c)
Amount that Adam has
= 1 u
= $232
Answer(s): (a) $874; (b) $464; (c) $232