3 children have a total of $2400.
Adam has $120 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 + 120
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 120
= 5 u + 120
5 u + 120 = 2400
5 u = 2400 - 120 = 2280
5 u = 2280
1 u = 2280 ÷ 5 = 456
Amount that Adam has
= 2 u + 120
= 2 x 456 + 120
= 912 + 120
= $1032
(b)
Amount that Charlie has
= 2 u
= $912
(c)
Amount that Bryan has
= 1 u
= $456
Answer(s): (a) $1032; (b) $912; (c) $456