Bryan and Adam have a total of $117.
Bryan spends
13 of his money and
Adam spends
16 of his money.
They spend $37 altogether.
- How much does Bryan have at first?
- How much does Adam have in the end?
|
Bryan |
Adam |
Before |
3 u |
6 p |
Change |
- 1 u |
- 1 p |
After |
2 u |
5 p |
(a)
Amount that Bryan has at first = 3 u
Amount that Adam has at first = 6 p
Total amount that they have = 3 u + 6 p = 117 --- (1)
Total amount that they spend = 1 u + 1 p = 37 --- (2)
(2)
x 6 6 u + 6 p = 222 --- (3)
(3) - (1)
(6 u + 6 p) - (3 u + 6 p) = 222 - 117
6 u + 6 p - 3 u - 6 p = 222 - 117
6 u - 3 u + 6 p - 6 p = 105
6 u - 3 u = 105
3 u = 105
1 u = 105 ÷ 3 = 35
Substitute 1 u = 35 into (1).
3 u + 6 p = 117
3 x 35 + 6 p = 117
105 + 6 p = 117
6 p = 117 - 105 = 12
1 p = 12 ÷ 6 = 2
Amount that Bryan has at first
= 3 u
= 3 x 35
= $105
(b)
Amount that Adam has in the end
= 6 p - 1 p
= 5 p
= 5 x 2
= $10
Answer(s): (a) $105; (b) $10