Jayden bought 73 files and Will bought 90 files. After Will used
35 times as many files as Jayden, he was left with twice as many files as Jayden. How many files did each of them have in the end?
- Jayden
- Will
| |
Make p the same.
(1)x2 = (3) |
Jayden
(1) |
Will
(2) |
| Before |
146 |
73 |
90 |
| Change |
- 10 u |
- 5 u |
- 3 u |
| After |
2 p |
1 p |
2 p |
(a)
73 - 5 u = 1 p --- (1)
90 - 3 u =
2 p --- (2)
(1)
x2
146 - 10 u =
2 p --- (3)
(3) = (2)
90 - 3 u = 146 - 10 u
10 u - 3 u = 146 - 90
7 u = 56
1 u = 56 ÷ 7 = 8
Number of files that Jayden had in the end
= 73 - 5 u
= 73 - 5 x 8
= 73 - 40
= 33
(b)
1 p = 33
Number of files that Will had in the end
= 2 p
= 2 x 33
= 66
Answer(s): (a) 33; (b) 66
