3 children have a total of $1600.
Adam has $450 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 + 450
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 450
= 5 u + 450
5 u + 450 = 1600
5 u = 1600 - 450 = 1150
5 u = 1150
1 u = 1150 ÷ 5 = 230
Amount that Adam has
= 2 u + 450
= 2 x 230 + 450
= 460 + 450
= $910
(b)
Amount that Charlie has
= 2 u
= $460
(c)
Amount that Bryan has
= 1 u
= $230
Answer(s): (a) $910; (b) $460; (c) $230