3 children have a total of $2240.
Adam has $370 more than Bryan.
Bryan has 5 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 = 5 u
Amount that Adam has = 5 u + 370
Total amount that Adam, Bryan and Charlie
= 1 u + 5 u + 5 u + 370
= 11 u + 370
11 u + 370 = 2240
11 u = 2240 - 370 = 1870
11 u = 1870
1 u = 1870 ÷ 11 = 170
Amount that Adam has
= 5 u + 370
= 5 x 170 + 370
= 850 + 370
= $1220
(b)
Amount that Bryan has
= 5 u
= $850
(c)
Amount that Charlie has
= 1 u
= $170
Answer(s): (a) $1220; (b) $850; (c) $170