3 children have a total of $3090.
Adam has $170 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 + 170
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 170
= 5 u + 170
5 u + 170 = 3090
5 u = 3090 - 170 = 2920
5 u = 2920
1 u = 2920 ÷ 5 = 584
Amount that Adam has
= 2 u + 170
= 2 x 584 + 170
= 1168 + 170
= $1338
(b)
Amount that Bryan has
= 2 u
= $1168
(c)
Amount that Charlie has
= 1 u
= $584
Answer(s): (a) $1338; (b) $1168; (c) $584