3 children have a total of $2430.
Adam has $450 more than Charlie.
Charlie has 5 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 = 5 u
Amount that Adam has = 5 u + 450
Total amount that Adam, Charlie and Bryan
= 1 u + 5 u + 5 u + 450
= 11 u + 450
11 u + 450 = 2430
11 u = 2430 - 450 = 1980
11 u = 1980
1 u = 1980 ÷ 11 = 180
Amount that Adam has
= 5 u + 450
= 5 x 180 + 450
= 900 + 450
= $1350
(b)
Amount that Charlie has
= 5 u
= $900
(c)
Amount that Bryan has
= 1 u
= $180
Answer(s): (a) $1350; (b) $900; (c) $180