Christian bought 34 pens and Valen bought 45 pens. After Valen used
27 times as many pens as Christian, he was left with thrice as many pens as Christian. How many pens did each of them have in the end?
- Christian
- Valen
| |
Make p the same.
(1)x3 = (3) |
Christian
(1) |
Valen
(2) |
| Before |
102 |
34 |
45 |
| Change |
- 21 u |
- 7 u |
- 2 u |
| After |
3 p |
1 p |
3 p |
(a)
34 - 7 u = 1 p --- (1)
45 - 2 u =
3 p --- (2)
(1)
x3
102 - 21 u =
3 p --- (3)
(3) = (2)
45 - 2 u = 102 - 21 u
21 u - 2 u = 102 - 45
19 u = 57
1 u = 57 ÷ 19 = 3
Number of pens that Christian had in the end
= 34 - 7 u
= 34 - 7 x 3
= 34 - 21
= 13
(b)
1 p = 13
Number of pens that Valen had in the end
= 3 p
= 3 x 13
= 39
Answer(s): (a) 13; (b) 39
