3 children have a total of $1870.
Bryan has $180 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 + 180
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 180
= 5 u + 180
5 u + 180 = 1870
5 u = 1870 - 180 = 1690
5 u = 1690
1 u = 1690 ÷ 5 = 338
Amount that Bryan has
= 2 u + 180
= 2 x 338 + 180
= 676 + 180
= $856
(b)
Amount that Charlie has
= 2 u
= $676
(c)
Amount that Adam has
= 1 u
= $338
Answer(s): (a) $856; (b) $676; (c) $338