Glen and Vincent had 69 pencils together. Vincent had 7 less pencils than Glen. Both of them sold some of their pencils. Vincent sold 25% more pencils than what Glen sold. In the end, Vincent had half as many pencils left as Glen. How many pencils had Vincent left?
| |
Glen
(1) |
Vincent
(2) |
Make p the same
(2)x2 = (3) |
Comparing Glen
and Vincent at first |
7 more |
|
|
| Before |
38 |
31 |
62 |
| Change |
- 4 u |
- 5 u |
- 10 u |
| After |
2 p |
1 p |
2 p |
Number of pencils that Vincent had at first
= (69 - 7) ÷ 2
= 62 ÷ 2
= 31
Number of pencils that Glen had at first
= 31 + 7
= 38
Number of pencils that Vincent sold in percent
= 100% + 25%
= 125%
125% =
125100 =
54 Make p the same.
(1) = (3)
38 - 4 u = 62 - 10 u
10 u - 4 u = 62 - 38
6 u = 24
1 u = 24 ÷ 6 = 4
Number of pencils that Vincent had left
= 31 - 5 u
= 31 - 5 x 4
= 31 - 20
= 11
Answer(s): 11
