Hilda had 42 less candy canes than Hazel. Hazel used
45 of her candy canes and Hilda used
34 of her candy canes. In the end, Hazel had 2 times as much as Hilda. Find the number of candy canes that Hazel had at first.
|
Hazel |
Hilda |
Comparing Hazel and Parry at first |
|
42 less |
Before |
5x2 = 10 u |
4 u |
Change |
- 4x2 = - 8 u |
- 3 u |
After |
1x2 = 2 u |
1 u |
Comparing Hazel and Parry in the end |
2 u |
1 u |
The number of candy canes that Hazel had in the end is repeated. Make the number of candy canes that Hazel had in the end the same. LCM of 1 and 2 is 2.
Number of candy canes that Hilda had less than Hazel
= 10 u - 4 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Number of candy canes that Hazel had at first
= 10 u
= 10 x 7
= 70
Answer(s): 70