Isabella bought 71 pens and Asher bought 86 pens. After Asher used
25 times as many pens as Isabella, he was left with four times as many pens as Isabella. How many pens did each of them have in the end?
- Isabella
- Asher
| |
Make p the same.
(1)x4 = (3) |
Isabella
(1) |
Asher
(2) |
| Before |
284 |
71 |
86 |
| Change |
- 20 u |
- 5 u |
- 2 u |
| After |
4 p |
1 p |
4 p |
(a)
71 - 5 u = 1 p --- (1)
86 - 2 u =
4 p --- (2)
(1)
x4
284 - 20 u =
4 p --- (3)
(3) = (2)
86 - 2 u = 284 - 20 u
20 u - 2 u = 284 - 86
18 u = 198
1 u = 198 ÷ 18 = 11
Number of pens that Isabella had in the end
= 71 - 5 u
= 71 - 5 x 11
= 71 - 55
= 16
(b)
1 p = 16
Number of pens that Asher had in the end
= 4 p
= 4 x 16
= 64
Answer(s): (a) 16; (b) 64
