Flynn and Vincent had 77 pencils together. Flynn had 15 more pencils than Vincent. Both of them sold some of their pencils. Vincent sold 30% less pencils than what Flynn sold. In the end, Vincent had half as many pencils left as Flynn. How many pencils had Flynn left?
| |
Flynn
(1) |
Vincent
(2) |
Make p the same
(2)x2 = (3) |
Comparing Flynn
and Vincent at first |
15 more |
|
|
| Before |
46 |
31 |
62 |
| Change |
- 10 u |
- 7 u |
- 14 u |
| After |
2 p |
1 p |
2 p |
Number of pencils that Vincent had at first
= (77 - 15) ÷ 2
= 62 ÷ 2
= 31
Number of pencils that Flynn had at first
= 31 + 15
= 46
Number of pencils that Vincent sold in percent
= 100% - 30%
= 70%
70% =
70100 =
710 Make p the same.
(1) = (3)
46 - 10 u = 62 - 14 u
14 u - 10 u = 62 - 46
4 u = 16
1 u = 16 ÷ 4 = 4
Number of pencils that Flynn had left
= 46 - 10 u
= 46 - 10 x 4
= 46 - 40
= 6
Answer(s): 6
