Mia bought 82 pencils and Valen bought 90 pencils. After Valen used
35 times as many pencils as Mia, he was left with thrice as many pencils as Mia. How many pencils did each of them have in the end?
- Mia
- Valen
| |
Make p the same.
(1)x3 = (3) |
Mia
(1) |
Valen
(2) |
| Before |
246 |
82 |
90 |
| Change |
- 15 u |
- 5 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
82 - 5 u = 1 p --- (1)
90 - 3 u =
3 p --- (2)
(1)
x3
246 - 15 u =
3 p --- (3)
(3) = (2)
90 - 3 u = 246 - 15 u
15 u - 3 u = 246 - 90
12 u = 156
1 u = 156 ÷ 12 = 13
Number of pencils that Mia had in the end
= 82 - 5 u
= 82 - 5 x 13
= 82 - 65
= 17
(b)
1 p = 17
Number of pencils that Valen had in the end
= 3 p
= 3 x 17
= 51
Answer(s): (a) 17; (b) 51
