Jen had 105 less candy canes than Esther. Esther used
56 of her candy canes and Jen used
23 of her candy canes. In the end, Esther had 3 times as much as Jen. Find the number of candy canes that Esther had at first.
| |
Esther |
Jen |
Comparing Esther
and Parry at first |
|
105 less |
| Before |
6x3 =
18 u |
3 u |
| Change |
- 5x3 =
- 15 u |
- 2 u |
| After |
1x3 =
3 u |
1 u |
Comparing Esther
and Parry in the end |
3 u |
1 u |
The number of candy canes that Esther had in the end is repeated. Make the number of candy canes that Esther had in the end the same. LCM of 1 and 3 is 3.
Number of candy canes that Jen had less than Esther
= 18 u - 3 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Number of candy canes that Esther had at first
= 18 u
= 18 x 7
= 126
Answer(s): 126
