Bryan and Adam have a total of $214.
Bryan spends
14 of his money and
Adam spends
16 of his money.
They spend $39 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 = 214 --- (1)
Total amount that they spend = 1 u + 1 p = 39 --- (2)
(2)
x 6 6 u + 6 p = 234 --- (3)
(3) - (1)
(6 u + 6 p) - (4 u + 6 p) = 234 - 214
6 u + 6 p - 4 u - 6 p = 234 - 214
6 u - 4 u + 6 p - 6 p = 20
6 u - 4 u = 20
2 u = 20
1 u = 20 ÷ 2 = 10
Substitute 1 u = 10 into (1).
4 u + 6 p = 214
4 x 10 + 6 p = 214
40 + 6 p = 214
6 p = 214 - 40 = 174
1 p = 174 ÷ 6 = 29
Amount that Bryan has at first
= 4 u
= 4 x 10
= $40
(b)
Amount that Adam has in the end
= 6 p - 1 p
= 5 p
= 5 x 29
= $145
Answer(s): (a) $40; (b) $145