Bryan and Adam have a total of $162.
Bryan spends
12 of his money and
Adam spends
16 of his money.
They spend $43 altogether.
- How much does Bryan have at first?
- How much does Adam have in the end?
|
Bryan |
Adam |
Before |
2 u |
6 p |
Change |
- 1 u |
- 1 p |
After |
1 u |
5 p |
(a)
Amount that Bryan has at first = 2 u
Amount that Adam has at first = 6 p
Total amount that they have = 2 u + 6 p = 162 --- (1)
Total amount that they spend = 1 u + 1 p = 43 --- (2)
(2)
x 6 6 u + 6 p = 258 --- (3)
(3) - (1)
(6 u + 6 p) - (2 u + 6 p) = 258 - 162
6 u + 6 p - 2 u - 6 p = 258 - 162
6 u - 2 u + 6 p - 6 p = 96
6 u - 2 u = 96
4 u = 96
1 u = 96 ÷ 4 = 24
Substitute 1 u = 24 into (1).
2 u + 6 p = 162
2 x 24 + 6 p = 162
48 + 6 p = 162
6 p = 162 - 48 = 114
1 p = 114 ÷ 6 = 19
Amount that Bryan has at first
= 2 u
= 2 x 24
= $48
(b)
Amount that Adam has in the end
= 6 p - 1 p
= 5 p
= 5 x 19
= $95
Answer(s): (a) $48; (b) $95