Abi had 33 less lollipops than Kathy. Kathy used
34 of her lollipops and Abi used
45 of her lollipops. In the end, Kathy had 2 times as much as Abi. Find the number of lollipops that Kathy had at first.
|
Kathy |
Abi |
Comparing Kathy and Parry at first |
|
33 less |
Before |
4x2 = 8 u |
5 u |
Change |
- 3x2 = - 6 u |
- 4 u |
After |
1x2 = 2 u |
1 u |
Comparing Kathy and Parry in the end |
2 u |
1 u |
The number of lollipops that Kathy had in the end is repeated. Make the number of lollipops that Kathy had in the end the same. LCM of 1 and 2 is 2.
Number of lollipops that Abi had less than Kathy
= 8 u - 5 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Number of lollipops that Kathy had at first
= 8 u
= 8 x 11
= 88
Answer(s): 88