3 children have a total of $3190.
Charlie has $340 more than Adam.
Adam has 2 times as much as Bryan.
- How much does Charlie have?
- How much does Adam 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 Adam has = 2 u
Amount that Charlie has = 2 u + 340
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 340
= 5 u + 340
5 u + 340 = 3190
5 u = 3190 - 340 = 2850
5 u = 2850
1 u = 2850 ÷ 5 = 570
Amount that Charlie has
= 2 u + 340
= 2 x 570 + 340
= 1140 + 340
= $1480
(b)
Amount that Adam has
= 2 u
= $1140
(c)
Amount that Bryan has
= 1 u
= $570
Answer(s): (a) $1480; (b) $1140; (c) $570