3 children have a total of $1420.
Charlie has $380 more than Adam.
Adam has 2 times as much as Bryan.
- How much does Charlie have?
- How much does Adam 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 Adam has = 2 u
Amount that Charlie has = 2 u + 380
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 380
= 5 u + 380
5 u + 380 = 1420
5 u = 1420 - 380 = 1040
5 u = 1040
1 u = 1040 ÷ 5 = 208
Amount that Charlie has
= 2 u + 380
= 2 x 208 + 380
= 416 + 380
= $796
(b)
Amount that Adam has
= 2 u
= $416
(c)
Amount that Bryan has
= 1 u
= $208
Answer(s): (a) $796; (b) $416; (c) $208