Winnie had 36 less candy canes than Diana. Diana used
34 of her candy canes and Winnie used
23 of her candy canes. In the end, Diana had 3 times as much as Winnie. Find the number of candy canes that Diana had at first.
| |
Diana |
Winnie |
Comparing Diana
and Parry at first |
|
36 less |
| Before |
4x3 =
12 u |
3 u |
| Change |
- 3x3 =
- 9 u |
- 2 u |
| After |
1x3 =
3 u |
1 u |
Comparing Diana
and Parry in the end |
3 u |
1 u |
The number of candy canes that Diana had in the end is repeated. Make the number of candy canes that Diana had in the end the same. LCM of 1 and 3 is 3.
Number of candy canes that Winnie had less than Diana
= 12 u - 3 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Number of candy canes that Diana had at first
= 12 u
= 12 x 4
= 48
Answer(s): 48
