Vaidev and Pierre had 68 cookies altogether. After Vaidev ate
14 of his cookies and Pierre ate 8 cookies, the number of cookies Pierre had left was twice the number of cookies Vaidev had left. How many more cookies did Pierre have than Vaidev at first?
|
Vaidev |
Pierre |
Total |
Before |
4 u |
6 u + 8 |
68 |
Change |
- 1 u |
- 8 |
|
After |
3 u |
|
|
Comparing Vaidev and Pierre in the end |
1x3 = 3 u |
2x3 = 6 u |
|
The number of cookies that Vaidev had in the end is the same. Make the number of cookies that Vaidev had in the end the same. LCM of 3 and 1 is 3.
Total number of cookies at first
= 4 u + 6 u + 8
= 10 u + 8
10 u + 8 = 68
10 u = 68 - 8
10 u = 60
1 u = 60 ÷ 10 = 6
Number of cookies that Vaidev had at first
= 4 u
= 4 x 6
= 24
Number of cookies that Pierre had at first
= 68 - 24
= 44
Number of cookies that Pierre had more than Vaidev at first
= 44 - 24
= 20
Answer(s): 20