3 children have a total of $1690.
Charlie has $210 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 + 210
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 210
= 5 u + 210
5 u + 210 = 1690
5 u = 1690 - 210 = 1480
5 u = 1480
1 u = 1480 ÷ 5 = 296
Amount that Charlie has
= 2 u + 210
= 2 x 296 + 210
= 592 + 210
= $802
(b)
Amount that Adam has
= 2 u
= $592
(c)
Amount that Bryan has
= 1 u
= $296
Answer(s): (a) $802; (b) $592; (c) $296