3 children have a total of $3830.
Adam has $450 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 + 450
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 450
= 5 u + 450
5 u + 450 = 3830
5 u = 3830 - 450 = 3380
5 u = 3380
1 u = 3380 ÷ 5 = 676
Amount that Adam has
= 2 u + 450
= 2 x 676 + 450
= 1352 + 450
= $1802
(b)
Amount that Bryan has
= 2 u
= $1352
(c)
Amount that Charlie has
= 1 u
= $676
Answer(s): (a) $1802; (b) $1352; (c) $676