Josiah bought 63 files and Dylan bought 75 files. After Dylan used
27 times as many files as Josiah, he was left with thrice as many files as Josiah. How many files did each of them have in the end?
- Josiah
- Dylan
| |
Make p the same.
(1)x3 = (3) |
Josiah
(1) |
Dylan
(2) |
| Before |
189 |
63 |
75 |
| Change |
- 21 u |
- 7 u |
- 2 u |
| After |
3 p |
1 p |
3 p |
(a)
63 - 7 u = 1 p --- (1)
75 - 2 u =
3 p --- (2)
(1)
x3
189 - 21 u =
3 p --- (3)
(3) = (2)
75 - 2 u = 189 - 21 u
21 u - 2 u = 189 - 75
19 u = 114
1 u = 114 ÷ 19 = 6
Number of files that Josiah had in the end
= 63 - 7 u
= 63 - 7 x 6
= 63 - 42
= 21
(b)
1 p = 21
Number of files that Dylan had in the end
= 3 p
= 3 x 21
= 63
Answer(s): (a) 21; (b) 63
