Julie had 100 more candy canes than Hazel. Julie used
56 of her candy canes and Hazel used
12 of her candy canes. In the end, Julie had 2 times as much as Hazel. Find the number of candy canes that Hazel had at first.
|
Julie |
Hazel |
Comparing Julie and Parry at first |
100 more |
|
Before |
6x2 = 12 u |
2 u |
Change |
- 5x2 = - 10 u |
- 1 u |
After |
1x2 = 2 u |
1 u |
Comparing Julie and Parry in the end |
2 u |
1 u |
The number of candy canes that Julie had in the end is repeated. Make the number of candy canes that Julie had in the end the same. LCM of 1 and 2 is 2.
Number of candy canes that Julie had more than Hazel
= 12 u - 2 u
= 10 u
10 u = 100
1 u = 100 ÷ 10 = 10
Number of candy canes that Hazel had at first
= 2 u
= 2 x 10
= 20
Answer(s): 20