3 children have a total of $1500.
Charlie has $490 more than Bryan.
Bryan has 2 times as much as Adam.
- How much does Charlie have?
- How much does Bryan have?
- How much does Adam have?
(a)
Choose the person with least money to be 1 u.
Amount that Adam has = 1 u
Amount that Bryan has = 2 u
Amount that Charlie has = 2 u + 490
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 490
= 5 u + 490
5 u + 490 = 1500
5 u = 1500 - 490 = 1010
5 u = 1010
1 u = 1010 ÷ 5 = 202
Amount that Charlie has
= 2 u + 490
= 2 x 202 + 490
= 404 + 490
= $894
(b)
Amount that Bryan has
= 2 u
= $404
(c)
Amount that Adam has
= 1 u
= $202
Answer(s): (a) $894; (b) $404; (c) $202