3 children have a total of $4750.
Adam has $160 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 + 160
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 160
= 5 u + 160
5 u + 160 = 4750
5 u = 4750 - 160 = 4590
5 u = 4590
1 u = 4590 ÷ 5 = 918
Amount that Adam has
= 2 u + 160
= 2 x 918 + 160
= 1836 + 160
= $1996
(b)
Amount that Charlie has
= 2 u
= $1836
(c)
Amount that Bryan has
= 1 u
= $918
Answer(s): (a) $1996; (b) $1836; (c) $918