3 children have a total of $2000.
Adam has $290 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 + 290
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 290
= 5 u + 290
5 u + 290 = 2000
5 u = 2000 - 290 = 1710
5 u = 1710
1 u = 1710 ÷ 5 = 342
Amount that Adam has
= 2 u + 290
= 2 x 342 + 290
= 684 + 290
= $974
(b)
Amount that Bryan has
= 2 u
= $684
(c)
Amount that Charlie has
= 1 u
= $342
Answer(s): (a) $974; (b) $684; (c) $342