Bryan and Adam have a total of $198.
Bryan spends
14 of his money and
Adam spends
16 of his money.
They spend $38 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 = 198 --- (1)
Total amount that they spend = 1 u + 1 p = 38 --- (2)
(2)
x 6 6 u + 6 p = 228 --- (3)
(3) - (1)
(6 u + 6 p) - (4 u + 6 p) = 228 - 198
6 u + 6 p - 4 u - 6 p = 228 - 198
6 u - 4 u + 6 p - 6 p = 30
6 u - 4 u = 30
2 u = 30
1 u = 30 ÷ 2 = 15
Substitute 1 u = 15 into (1).
4 u + 6 p = 198
4 x 15 + 6 p = 198
60 + 6 p = 198
6 p = 198 - 60 = 138
1 p = 138 ÷ 6 = 23
Amount that Bryan has at first
= 4 u
= 4 x 15
= $60
(b)
Amount that Adam has in the end
= 6 p - 1 p
= 5 p
= 5 x 23
= $115
Answer(s): (a) $60; (b) $115