3 children have a total of $3690.
Charlie has $500 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 + 500
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 500
= 5 u + 500
5 u + 500 = 3690
5 u = 3690 - 500 = 3190
5 u = 3190
1 u = 3190 ÷ 5 = 638
Amount that Charlie has
= 2 u + 500
= 2 x 638 + 500
= 1276 + 500
= $1776
(b)
Amount that Adam has
= 2 u
= $1276
(c)
Amount that Bryan has
= 1 u
= $638
Answer(s): (a) $1776; (b) $1276; (c) $638