Tammy had 80 less candy canes than Rachel. Rachel used
45 of her candy canes and Tammy used
45 of her candy canes. In the end, Rachel had 3 times as much as Tammy. Find the number of candy canes that Rachel had at first.
| |
Rachel |
Tammy |
Comparing Rachel
and Parry at first |
|
80 less |
| Before |
5x3 =
15 u |
5 u |
| Change |
- 4x3 =
- 12 u |
- 4 u |
| After |
1x3 =
3 u |
1 u |
Comparing Rachel
and Parry in the end |
3 u |
1 u |
The number of candy canes that Rachel had in the end is repeated. Make the number of candy canes that Rachel had in the end the same. LCM of 1 and 3 is 3.
Number of candy canes that Tammy had less than Rachel
= 15 u - 5 u
= 10 u
10 u = 80
1 u = 80 ÷ 10 = 8
Number of candy canes that Rachel had at first
= 15 u
= 15 x 8
= 120
Answer(s): 120
