Adam and Bryan have a total of $256.
Adam spends
14 of his money and
Bryan spends
18 of his money.
They spend $38 altogether.
- How much does Adam have at first?
- How much does Bryan have in the end?
|
Adam |
Bryan |
Before |
4 u |
8 p |
Change |
- 1 u |
- 1 p |
After |
3 u |
7 p |
(a)
Amount that Adam has at first = 4 u
Amount that Bryan has at first = 8 p
Total amount that they have = 4 u + 8 p = 256 --- (1)
Total amount that they spend = 1 u + 1 p = 38 --- (2)
(2)
x 8 8 u + 8 p = 304 --- (3)
(3) - (1)
(8 u + 8 p) - (4 u + 8 p) = 304 - 256
8 u + 8 p - 4 u - 8 p = 304 - 256
8 u - 4 u + 8 p - 8 p = 48
8 u - 4 u = 48
4 u = 48
1 u = 48 ÷ 4 = 12
Substitute 1 u = 12 into (1).
4 u + 8 p = 256
4 x 12 + 8 p = 256
48 + 8 p = 256
8 p = 256 - 48 = 208
1 p = 208 ÷ 8 = 26
Amount that Adam has at first
= 4 u
= 4 x 12
= $48
(b)
Amount that Bryan has in the end
= 8 p - 1 p
= 7 p
= 7 x 26
= $182
Answer(s): (a) $48; (b) $182