3 children have a total of $4990.
Adam has $160 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 + 160
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 160
= 5 u + 160
5 u + 160 = 4990
5 u = 4990 - 160 = 4830
5 u = 4830
1 u = 4830 ÷ 5 = 966
Amount that Adam has
= 2 u + 160
= 2 x 966 + 160
= 1932 + 160
= $2092
(b)
Amount that Bryan has
= 2 u
= $1932
(c)
Amount that Charlie has
= 1 u
= $966
Answer(s): (a) $2092; (b) $1932; (c) $966