3 children have a total of $1540.
Bryan has $270 more than Adam.
Adam has 2 times as much as Charlie.
- How much does Bryan have?
- How much does Adam 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 Adam has = 2 u
Amount that Bryan has = 2 u + 270
Total amount that Bryan, Adam and Charlie
= 1 u + 2 u + 2 u + 270
= 5 u + 270
5 u + 270 = 1540
5 u = 1540 - 270 = 1270
5 u = 1270
1 u = 1270 ÷ 5 = 254
Amount that Bryan has
= 2 u + 270
= 2 x 254 + 270
= 508 + 270
= $778
(b)
Amount that Adam has
= 2 u
= $508
(c)
Amount that Charlie has
= 1 u
= $254
Answer(s): (a) $778; (b) $508; (c) $254