3 children have a total of $1610.
Bryan has $420 more than Adam.
Adam has 3 times as much as Charlie.
- How much does Bryan have?
- How much does Adam 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 Adam has = 3 u
Amount that Bryan has = 3 u + 420
Total amount that Bryan, Adam and Charlie
= 1 u + 3 u + 3 u + 420
= 7 u + 420
7 u + 420 = 1610
7 u = 1610 - 420 = 1190
7 u = 1190
1 u = 1190 ÷ 7 = 170
Amount that Bryan has
= 3 u + 420
= 3 x 170 + 420
= 510 + 420
= $930
(b)
Amount that Adam has
= 3 u
= $510
(c)
Amount that Charlie has
= 1 u
= $170
Answer(s): (a) $930; (b) $510; (c) $170