Leah bought 46 pens and Sean bought 60 pens. After Sean used
25 times as many pens as Leah, he was left with twice as many pens as Leah. How many pens did each of them have in the end?
- Leah
- Sean
| |
Make p the same.
(1)x2 = (3) |
Leah
(1) |
Sean
(2) |
| Before |
92 |
46 |
60 |
| Change |
- 10 u |
- 5 u |
- 2 u |
| After |
2 p |
1 p |
2 p |
(a)
46 - 5 u = 1 p --- (1)
60 - 2 u =
2 p --- (2)
(1)
x2
92 - 10 u =
2 p --- (3)
(3) = (2)
60 - 2 u = 92 - 10 u
10 u - 2 u = 92 - 60
8 u = 32
1 u = 32 ÷ 8 = 4
Number of pens that Leah had in the end
= 46 - 5 u
= 46 - 5 x 4
= 46 - 20
= 26
(b)
1 p = 26
Number of pens that Sean had in the end
= 2 p
= 2 x 26
= 52
Answer(s): (a) 26; (b) 52
