3 children have a total of $2830.
Adam has $130 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 + 130
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 130
= 5 u + 130
5 u + 130 = 2830
5 u = 2830 - 130 = 2700
5 u = 2700
1 u = 2700 ÷ 5 = 540
Amount that Adam has
= 2 u + 130
= 2 x 540 + 130
= 1080 + 130
= $1210
(b)
Amount that Bryan has
= 2 u
= $1080
(c)
Amount that Charlie has
= 1 u
= $540
Answer(s): (a) $1210; (b) $1080; (c) $540