Penelope had 99 less candy canes than Kathy. Kathy used
67 of her candy canes and Penelope used
23 of her candy canes. In the end, Kathy had 2 times as much as Penelope. Find the number of candy canes that Kathy had at first.
| |
Kathy |
Penelope |
Comparing Kathy
and Parry at first |
|
99 less |
| Before |
7x2 =
14 u |
3 u |
| Change |
- 6x2 =
- 12 u |
- 2 u |
| After |
1x2 =
2 u |
1 u |
Comparing Kathy
and Parry in the end |
2 u |
1 u |
The number of candy canes that Kathy had in the end is repeated. Make the number of candy canes that Kathy had in the end the same. LCM of 1 and 2 is 2.
Number of candy canes that Penelope had less than Kathy
= 14 u - 3 u
= 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
Number of candy canes that Kathy had at first
= 14 u
= 14 x 9
= 126
Answer(s): 126
