3 children have a total of $4070.
Adam has $420 more than Bryan.
Bryan has 2 times as much as Charlie.
- How much does Adam have?
- How much does Bryan have?
- How much does Charlie have?
(a)
Choose the person with least money to be 1 u.
Amount that Charlie has = 1 u
Amount that Bryan has = 2 u
Amount that Adam has = 2 u + 420
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 420
= 5 u + 420
5 u + 420 = 4070
5 u = 4070 - 420 = 3650
5 u = 3650
1 u = 3650 ÷ 5 = 730
Amount that Adam has
= 2 u + 420
= 2 x 730 + 420
= 1460 + 420
= $1880
(b)
Amount that Bryan has
= 2 u
= $1460
(c)
Amount that Charlie has
= 1 u
= $730
Answer(s): (a) $1880; (b) $1460; (c) $730