Min had 153 less sweets than Diana. Diana used
67 of her sweets and Min used
34 of her sweets. In the end, Diana had 3 times as much as Min. Find the number of sweets that Diana had at first.
|
Diana |
Min |
Comparing Diana and Parry at first |
|
153 less |
Before |
7x3 = 21 u |
4 u |
Change |
- 6x3 = - 18 u |
- 3 u |
After |
1x3 = 3 u |
1 u |
Comparing Diana and Parry in the end |
3 u |
1 u |
The number of sweets that Diana had in the end is repeated. Make the number of sweets that Diana had in the end the same. LCM of 1 and 3 is 3.
Number of sweets that Min had less than Diana
= 21 u - 4 u
= 17 u
17 u = 153
1 u = 153 ÷ 17 = 9
Number of sweets that Diana had at first
= 21 u
= 21 x 9
= 189
Answer(s): 189