Diana had 22 less candy canes than Hazel. Hazel used
67 of her candy canes and Diana used
23 of her candy canes. In the end, Hazel had 2 times as much as Diana. Find the number of candy canes that Hazel had at first.
| |
Hazel |
Diana |
Comparing Hazel
and Parry at first |
|
22 less |
| Before |
7x2 =
14 u |
3 u |
| Change |
- 6x2 =
- 12 u |
- 2 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 Diana had less than Hazel
= 14 u - 3 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of candy canes that Hazel had at first
= 14 u
= 14 x 2
= 28
Answer(s): 28
