Isaac bought 80 staplers and Henry bought 96 staplers. After Henry used
37 times as many staplers as Isaac, he was left with thrice as many staplers as Isaac. How many staplers did each of them have in the end?
- Isaac
- Henry
| |
Make p the same.
(1)x3 = (3) |
Isaac
(1) |
Henry
(2) |
| Before |
240 |
80 |
96 |
| Change |
- 21 u |
- 7 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
80 - 7 u = 1 p --- (1)
96 - 3 u =
3 p --- (2)
(1)
x3
240 - 21 u =
3 p --- (3)
(3) = (2)
96 - 3 u = 240 - 21 u
21 u - 3 u = 240 - 96
18 u = 144
1 u = 144 ÷ 18 = 8
Number of staplers that Isaac had in the end
= 80 - 7 u
= 80 - 7 x 8
= 80 - 56
= 24
(b)
1 p = 24
Number of staplers that Henry had in the end
= 3 p
= 3 x 24
= 72
Answer(s): (a) 24; (b) 72
