Aubrey bought 30 files and Tim bought 58 files. After Tim used
25 times as many files as Aubrey, he was left with five times as many files as Aubrey. How many files did each of them have in the end?
- Aubrey
- Tim
| |
Make p the same.
(1)x5 = (3) |
Aubrey
(1) |
Tim
(2) |
| Before |
150 |
30 |
58 |
| Change |
- 25 u |
- 5 u |
- 2 u |
| After |
5 p |
1 p |
5 p |
(a)
30 - 5 u = 1 p --- (1)
58 - 2 u =
5 p --- (2)
(1)
x5
150 - 25 u =
5 p --- (3)
(3) = (2)
58 - 2 u = 150 - 25 u
25 u - 2 u = 150 - 58
23 u = 92
1 u = 92 ÷ 23 = 4
Number of files that Aubrey had in the end
= 30 - 5 u
= 30 - 5 x 4
= 30 - 20
= 10
(b)
1 p = 10
Number of files that Tim had in the end
= 5 p
= 5 x 10
= 50
Answer(s): (a) 10; (b) 50
