Jacob bought 59 files and Xavier bought 69 files. After Xavier used
35 times as many files as Jacob, he was left with thrice as many files as Jacob. How many files did each of them have in the end?
- Jacob
- Xavier
| |
Make p the same.
(1)x3 = (3) |
Jacob
(1) |
Xavier
(2) |
| Before |
177 |
59 |
69 |
| Change |
- 15 u |
- 5 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
59 - 5 u = 1 p --- (1)
69 - 3 u =
3 p --- (2)
(1)
x3
177 - 15 u =
3 p --- (3)
(3) = (2)
69 - 3 u = 177 - 15 u
15 u - 3 u = 177 - 69
12 u = 108
1 u = 108 ÷ 12 = 9
Number of files that Jacob had in the end
= 59 - 5 u
= 59 - 5 x 9
= 59 - 45
= 14
(b)
1 p = 14
Number of files that Xavier had in the end
= 3 p
= 3 x 14
= 42
Answer(s): (a) 14; (b) 42
