Yen had 84 more candy canes than Penelope. Yen used
56 of her candy canes and Penelope used
34 of her candy canes. In the end, Yen had 3 times as much as Penelope. Find the number of candy canes that Penelope had at first.
|
Yen |
Penelope |
Comparing Yen and Parry at first |
84 more |
|
Before |
6x3 = 18 u |
4 u |
Change |
- 5x3 = - 15 u |
- 3 u |
After |
1x3 = 3 u |
1 u |
Comparing Yen and Parry in the end |
3 u |
1 u |
The number of candy canes that Yen had in the end is repeated. Make the number of candy canes that Yen had in the end the same. LCM of 1 and 3 is 3.
Number of candy canes that Yen had more than Penelope
= 18 u - 4 u
= 14 u
14 u = 84
1 u = 84 ÷ 14 = 6
Number of candy canes that Penelope had at first
= 4 u
= 4 x 6
= 24
Answer(s): 24