3 children have a total of $1830.
Adam has $280 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 + 280
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 280
= 5 u + 280
5 u + 280 = 1830
5 u = 1830 - 280 = 1550
5 u = 1550
1 u = 1550 ÷ 5 = 310
Amount that Adam has
= 2 u + 280
= 2 x 310 + 280
= 620 + 280
= $900
(b)
Amount that Charlie has
= 2 u
= $620
(c)
Amount that Bryan has
= 1 u
= $310
Answer(s): (a) $900; (b) $620; (c) $310