Elyse had 144 less lollipops than Emily. Emily used
56 of her lollipops and Elyse used
12 of her lollipops. In the end, Emily had 3 times as much as Elyse. Find the number of lollipops that Emily had at first.
|
Emily |
Elyse |
Comparing Emily and Parry at first |
|
144 less |
Before |
6x3 = 18 u |
2 u |
Change |
- 5x3 = - 15 u |
- 1 u |
After |
1x3 = 3 u |
1 u |
Comparing Emily and Parry in the end |
3 u |
1 u |
The number of lollipops that Emily had in the end is repeated. Make the number of lollipops that Emily had in the end the same. LCM of 1 and 3 is 3.
Number of lollipops that Elyse had less than Emily
= 18 u - 2 u
= 16 u
16 u = 144
1 u = 144 ÷ 16 = 9
Number of lollipops that Emily had at first
= 18 u
= 18 x 9
= 162
Answer(s): 162