Anthony bought 87 staplers and Luke bought 90 staplers. After Luke used
35 times as many staplers as Anthony, he was left with twice as many staplers as Anthony. How many staplers did each of them have in the end?
- Anthony
- Luke
| |
Make p the same.
(1)x2 = (3) |
Anthony
(1) |
Luke
(2) |
| Before |
174 |
87 |
90 |
| Change |
- 10 u |
- 5 u |
- 3 u |
| After |
2 p |
1 p |
2 p |
(a)
87 - 5 u = 1 p --- (1)
90 - 3 u =
2 p --- (2)
(1)
x2
174 - 10 u =
2 p --- (3)
(3) = (2)
90 - 3 u = 174 - 10 u
10 u - 3 u = 174 - 90
7 u = 84
1 u = 84 ÷ 7 = 12
Number of staplers that Anthony had in the end
= 87 - 5 u
= 87 - 5 x 12
= 87 - 60
= 27
(b)
1 p = 27
Number of staplers that Luke had in the end
= 2 p
= 2 x 27
= 54
Answer(s): (a) 27; (b) 54
