Jack bought 63 staplers and Tom bought 93 staplers. After Tom used
35 times as many staplers as Jack, he was left with thrice as many staplers as Jack. How many staplers did each of them have in the end?
- Jack
- Tom
| |
Make p the same.
(1)x3 = (3) |
Jack
(1) |
Tom
(2) |
| Before |
189 |
63 |
93 |
| Change |
- 15 u |
- 5 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
63 - 5 u = 1 p --- (1)
93 - 3 u =
3 p --- (2)
(1)
x3
189 - 15 u =
3 p --- (3)
(3) = (2)
93 - 3 u = 189 - 15 u
15 u - 3 u = 189 - 93
12 u = 96
1 u = 96 ÷ 12 = 8
Number of staplers that Jack had in the end
= 63 - 5 u
= 63 - 5 x 8
= 63 - 40
= 23
(b)
1 p = 23
Number of staplers that Tom had in the end
= 3 p
= 3 x 23
= 69
Answer(s): (a) 23; (b) 69
