3 children have a total of $2670.
Adam has $470 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 + 470
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 470
= 5 u + 470
5 u + 470 = 2670
5 u = 2670 - 470 = 2200
5 u = 2200
1 u = 2200 ÷ 5 = 440
Amount that Adam has
= 2 u + 470
= 2 x 440 + 470
= 880 + 470
= $1350
(b)
Amount that Bryan has
= 2 u
= $880
(c)
Amount that Charlie has
= 1 u
= $440
Answer(s): (a) $1350; (b) $880; (c) $440