Adam and Bryan have a total of $91.
Adam spends
12 of his money and
Bryan spends
15 of his money.
They spend $29 altogether.
- How much does Adam have at first?
- How much does Bryan have in the end?
|
Adam |
Bryan |
Before |
2 u |
5 p |
Change |
- 1 u |
- 1 p |
After |
1 u |
4 p |
(a)
Amount that Adam has at first = 2 u
Amount that Bryan has at first = 5 p
Total amount that they have = 2 u + 5 p = 91 --- (1)
Total amount that they spend = 1 u + 1 p = 29 --- (2)
(2)
x 5 5 u + 5 p = 145 --- (3)
(3) - (1)
(5 u + 5 p) - (2 u + 5 p) = 145 - 91
5 u + 5 p - 2 u - 5 p = 145 - 91
5 u - 2 u + 5 p - 5 p = 54
5 u - 2 u = 54
3 u = 54
1 u = 54 ÷ 3 = 18
Substitute 1 u = 18 into (1).
2 u + 5 p = 91
2 x 18 + 5 p = 91
36 + 5 p = 91
5 p = 91 - 36 = 55
1 p = 55 ÷ 5 = 11
Amount that Adam has at first
= 2 u
= 2 x 18
= $36
(b)
Amount that Bryan has in the end
= 5 p - 1 p
= 4 p
= 4 x 11
= $44
Answer(s): (a) $36; (b) $44