3 children have a total of $1550.
Adam has $290 more than Charlie.
Charlie has 3 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 = 3 u
Amount that Adam has = 3 u + 290
Total amount that Adam, Charlie and Bryan
= 1 u + 3 u + 3 u + 290
= 7 u + 290
7 u + 290 = 1550
7 u = 1550 - 290 = 1260
7 u = 1260
1 u = 1260 ÷ 7 = 180
Amount that Adam has
= 3 u + 290
= 3 x 180 + 290
= 540 + 290
= $830
(b)
Amount that Charlie has
= 3 u
= $540
(c)
Amount that Bryan has
= 1 u
= $180
Answer(s): (a) $830; (b) $540; (c) $180