3 children have a total of $2450.
Adam has $290 more than Charlie.
Charlie has 2 times as much as Bryan.
- How much does Adam have?
- How much does Charlie have?
- How much does Bryan have?
(a)
Choose the person with least money to be 1 u.
Amount that Bryan has = 1 u
Amount that Charlie has = 2 u
Amount that Adam has = 2 u + 290
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 290
= 5 u + 290
5 u + 290 = 2450
5 u = 2450 - 290 = 2160
5 u = 2160
1 u = 2160 ÷ 5 = 432
Amount that Adam has
= 2 u + 290
= 2 x 432 + 290
= 864 + 290
= $1154
(b)
Amount that Charlie has
= 2 u
= $864
(c)
Amount that Bryan has
= 1 u
= $432
Answer(s): (a) $1154; (b) $864; (c) $432