3 children have a total of $2490.
Adam has $410 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 + 410
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 410
= 5 u + 410
5 u + 410 = 2490
5 u = 2490 - 410 = 2080
5 u = 2080
1 u = 2080 ÷ 5 = 416
Amount that Adam has
= 2 u + 410
= 2 x 416 + 410
= 832 + 410
= $1242
(b)
Amount that Bryan has
= 2 u
= $832
(c)
Amount that Charlie has
= 1 u
= $416
Answer(s): (a) $1242; (b) $832; (c) $416