3 children have a total of $1610.
Bryan has $420 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 + 420
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 420
= 5 u + 420
5 u + 420 = 1610
5 u = 1610 - 420 = 1190
5 u = 1190
1 u = 1190 ÷ 5 = 238
Amount that Bryan has
= 2 u + 420
= 2 x 238 + 420
= 476 + 420
= $896
(b)
Amount that Charlie has
= 2 u
= $476
(c)
Amount that Adam has
= 1 u
= $238
Answer(s): (a) $896; (b) $476; (c) $238