3 children have a total of $1310.
Adam has $270 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 + 270
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 270
= 5 u + 270
5 u + 270 = 1310
5 u = 1310 - 270 = 1040
5 u = 1040
1 u = 1040 ÷ 5 = 208
Amount that Adam has
= 2 u + 270
= 2 x 208 + 270
= 416 + 270
= $686
(b)
Amount that Bryan has
= 2 u
= $416
(c)
Amount that Charlie has
= 1 u
= $208
Answer(s): (a) $686; (b) $416; (c) $208