Natalie had 112 less lollipops than Cathy. Cathy used
56 of her lollipops and Natalie used
34 of her lollipops. In the end, Cathy had 3 times as much as Natalie. Find the number of lollipops that Cathy had at first.
| |
Cathy |
Natalie |
Comparing Cathy
and Parry at first |
|
112 less |
| Before |
6x3 =
18 u |
4 u |
| Change |
- 5x3 =
- 15 u |
- 3 u |
| After |
1x3 =
3 u |
1 u |
Comparing Cathy
and Parry in the end |
3 u |
1 u |
The number of lollipops that Cathy had in the end is repeated. Make the number of lollipops that Cathy had in the end the same. LCM of 1 and 3 is 3.
Number of lollipops that Natalie had less than Cathy
= 18 u - 4 u
= 14 u
14 u = 112
1 u = 112 ÷ 14 = 8
Number of lollipops that Cathy had at first
= 18 u
= 18 x 8
= 144
Answer(s): 144
