Anthony bought 47 staplers and Seth bought 65 staplers. After Seth used
27 times as many staplers as Anthony, he was left with thrice as many staplers as Anthony. How many staplers did each of them have in the end?
- Anthony
- Seth
| |
Make p the same.
(1)x3 = (3) |
Anthony
(1) |
Seth
(2) |
| Before |
141 |
47 |
65 |
| Change |
- 21 u |
- 7 u |
- 2 u |
| After |
3 p |
1 p |
3 p |
(a)
47 - 7 u = 1 p --- (1)
65 - 2 u =
3 p --- (2)
(1)
x3
141 - 21 u =
3 p --- (3)
(3) = (2)
65 - 2 u = 141 - 21 u
21 u - 2 u = 141 - 65
19 u = 76
1 u = 76 ÷ 19 = 4
Number of staplers that Anthony had in the end
= 47 - 7 u
= 47 - 7 x 4
= 47 - 28
= 19
(b)
1 p = 19
Number of staplers that Seth had in the end
= 3 p
= 3 x 19
= 57
Answer(s): (a) 19; (b) 57
