Hazel had 72 more lollipops than Esther. Hazel used
34 of her lollipops and Esther used
23 of her lollipops. In the end, Hazel had 3 times as much as Esther. Find the number of lollipops that Esther had at first.
| |
Hazel |
Esther |
Comparing Hazel
and Parry at first |
72 more |
|
| Before |
4x3 =
12 u |
3 u |
| Change |
- 3x3 =
- 9 u |
- 2 u |
| After |
1x3 =
3 u |
1 u |
Comparing Hazel
and Parry in the end |
3 u |
1 u |
The number of lollipops that Hazel had in the end is repeated. Make the number of lollipops that Hazel had in the end the same. LCM of 1 and 3 is 3.
Number of lollipops that Hazel had more than Esther
= 12 u - 3 u
= 9 u
9 u = 72
1 u = 72 ÷ 9 = 8
Number of lollipops that Esther had at first
= 3 u
= 3 x 8
= 24
Answer(s): 24
