3 children have a total of $3350.
Adam has $490 more than Charlie.
Charlie has 2 times as much as Bryan.
- How much does Adam have?
- How much does Charlie 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 Charlie has = 2 u
Amount that Adam has = 2 u + 490
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 490
= 5 u + 490
5 u + 490 = 3350
5 u = 3350 - 490 = 2860
5 u = 2860
1 u = 2860 ÷ 5 = 572
Amount that Adam has
= 2 u + 490
= 2 x 572 + 490
= 1144 + 490
= $1634
(b)
Amount that Charlie has
= 2 u
= $1144
(c)
Amount that Bryan has
= 1 u
= $572
Answer(s): (a) $1634; (b) $1144; (c) $572