Bryan and Adam have a total of $196.
Bryan spends
13 of his money and
Adam spends
15 of his money.
They spend $42 altogether.
- How much does Bryan have at first?
- How much does Adam have in the end?
|
Bryan |
Adam |
Before |
3 u |
5 p |
Change |
- 1 u |
- 1 p |
After |
2 u |
4 p |
(a)
Amount that Bryan has at first = 3 u
Amount that Adam has at first = 5 p
Total amount that they have = 3 u + 5 p = 196 --- (1)
Total amount that they spend = 1 u + 1 p = 42 --- (2)
(2)
x 5 5 u + 5 p = 210 --- (3)
(3) - (1)
(5 u + 5 p) - (3 u + 5 p) = 210 - 196
5 u + 5 p - 3 u - 5 p = 210 - 196
5 u - 3 u + 5 p - 5 p = 14
5 u - 3 u = 14
2 u = 14
1 u = 14 ÷ 2 = 7
Substitute 1 u = 7 into (1).
3 u + 5 p = 196
3 x 7 + 5 p = 196
21 + 5 p = 196
5 p = 196 - 21 = 175
1 p = 175 ÷ 5 = 35
Amount that Bryan has at first
= 3 u
= 3 x 7
= $21
(b)
Amount that Adam has in the end
= 5 p - 1 p
= 4 p
= 4 x 35
= $140
Answer(s): (a) $21; (b) $140