Bryan and Adam have a total of $224.
Bryan spends
14 of his money and
Adam spends
16 of his money.
They spend $46 altogether.
- How much does Bryan have at first?
- How much does Adam have in the end?
|
Bryan |
Adam |
Before |
4 u |
6 p |
Change |
- 1 u |
- 1 p |
After |
3 u |
5 p |
(a)
Amount that Bryan has at first = 4 u
Amount that Adam has at first = 6 p
Total amount that they have = 4 u + 6 p = 224 --- (1)
Total amount that they spend = 1 u + 1 p = 46 --- (2)
(2)
x 6 6 u + 6 p = 276 --- (3)
(3) - (1)
(6 u + 6 p) - (4 u + 6 p) = 276 - 224
6 u + 6 p - 4 u - 6 p = 276 - 224
6 u - 4 u + 6 p - 6 p = 52
6 u - 4 u = 52
2 u = 52
1 u = 52 ÷ 2 = 26
Substitute 1 u = 26 into (1).
4 u + 6 p = 224
4 x 26 + 6 p = 224
104 + 6 p = 224
6 p = 224 - 104 = 120
1 p = 120 ÷ 6 = 20
Amount that Bryan has at first
= 4 u
= 4 x 26
= $104
(b)
Amount that Adam has in the end
= 6 p - 1 p
= 5 p
= 5 x 20
= $100
Answer(s): (a) $104; (b) $100