3 children have a total of $3720.
Adam has $340 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 + 340
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 340
= 5 u + 340
5 u + 340 = 3720
5 u = 3720 - 340 = 3380
5 u = 3380
1 u = 3380 ÷ 5 = 676
Amount that Adam has
= 2 u + 340
= 2 x 676 + 340
= 1352 + 340
= $1692
(b)
Amount that Charlie has
= 2 u
= $1352
(c)
Amount that Bryan has
= 1 u
= $676
Answer(s): (a) $1692; (b) $1352; (c) $676