Gillian had 126 less candy canes than Hilda. Hilda used
34 of her candy canes and Gillian used
12 of her candy canes. In the end, Hilda had 4 times as much as Gillian. Find the number of candy canes that Hilda had at first.
|
Hilda |
Gillian |
Comparing Hilda and Parry at first |
|
126 less |
Before |
4x4 = 16 u |
2 u |
Change |
- 3x4 = - 12 u |
- 1 u |
After |
1x4 = 4 u |
1 u |
Comparing Hilda and Parry in the end |
4 u |
1 u |
The number of candy canes that Hilda had in the end is repeated. Make the number of candy canes that Hilda had in the end the same. LCM of 1 and 4 is 4.
Number of candy canes that Gillian had less than Hilda
= 16 u - 2 u
= 14 u
14 u = 126
1 u = 126 ÷ 14 = 9
Number of candy canes that Hilda had at first
= 16 u
= 16 x 9
= 144
Answer(s): 144