3 children have a total of $3370.
Adam has $420 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 + 420
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 420
= 5 u + 420
5 u + 420 = 3370
5 u = 3370 - 420 = 2950
5 u = 2950
1 u = 2950 ÷ 5 = 590
Amount that Adam has
= 2 u + 420
= 2 x 590 + 420
= 1180 + 420
= $1600
(b)
Amount that Bryan has
= 2 u
= $1180
(c)
Amount that Charlie has
= 1 u
= $590
Answer(s): (a) $1600; (b) $1180; (c) $590