Jane had 64 less candy canes than Cathy. Cathy used
56 of her candy canes and Jane used
12 of her candy canes. In the end, Cathy had 3 times as much as Jane. Find the number of candy canes that Cathy had at first.
| |
Cathy |
Jane |
Comparing Cathy
and Parry at first |
|
64 less |
| Before |
6x3 =
18 u |
2 u |
| Change |
- 5x3 =
- 15 u |
- 1 u |
| After |
1x3 =
3 u |
1 u |
Comparing Cathy
and Parry in the end |
3 u |
1 u |
The number of candy canes that Cathy had in the end is repeated. Make the number of candy canes that Cathy had in the end the same. LCM of 1 and 3 is 3.
Number of candy canes that Jane had less than Cathy
= 18 u - 2 u
= 16 u
16 u = 64
1 u = 64 ÷ 16 = 4
Number of candy canes that Cathy had at first
= 18 u
= 18 x 4
= 72
Answer(s): 72
