Emma had 120 less lollipops than Hilda. Hilda used
67 of her lollipops and Emma used
34 of her lollipops. In the end, Hilda had 4 times as much as Emma. Find the number of lollipops that Hilda had at first.
|
Hilda |
Emma |
Comparing Hilda and Parry at first |
|
120 less |
Before |
7x4 = 28 u |
4 u |
Change |
- 6x4 = - 24 u |
- 3 u |
After |
1x4 = 4 u |
1 u |
Comparing Hilda and Parry in the end |
4 u |
1 u |
The number of lollipops that Hilda had in the end is repeated. Make the number of lollipops that Hilda had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Emma had less than Hilda
= 28 u - 4 u
= 24 u
24 u = 120
1 u = 120 ÷ 24 = 5
Number of lollipops that Hilda had at first
= 28 u
= 28 x 5
= 140
Answer(s): 140