Paul and Vincent had 81 wafers altogether. After Paul ate
14 of his wafers and Vincent ate 5 wafers, the number of wafers Vincent had left was five times the number of wafers Paul had left. How many more wafers did Vincent have than Paul at first?
|
Paul |
Vincent |
Total |
Before |
4 u |
15 u + 5 |
81 |
Change |
- 1 u |
- 5 |
|
After |
3 u |
|
|
Comparing Paul and Vincent in the end |
1x3 = 3 u |
5x3 = 15 u |
|
The number of wafers that Paul had in the end is the same. Make the number of wafers that Paul had in the end the same. LCM of 3 and 1 is 3.
Total number of wafers at first
= 4 u + 15 u + 5
= 19 u + 5
19 u + 5 = 81
19 u = 81 - 5
19 u = 76
1 u = 76 ÷ 19 = 4
Number of wafers that Paul had at first
= 4 u
= 4 x 4
= 16
Number of wafers that Vincent had at first
= 81 - 16
= 65
Number of wafers that Vincent had more than Paul at first
= 65 - 16
= 49
Answer(s): 49