Cathy had 180 more lollipops than Sarah. Cathy used
45 of her lollipops and Sarah used
12 of her lollipops. In the end, Cathy had 4 times as much as Sarah. Find the number of lollipops that Sarah had at first.
| |
Cathy |
Sarah |
Comparing Cathy
and Parry at first |
180 more |
|
| Before |
5x4 =
20 u |
2 u |
| Change |
- 4x4 =
- 16 u |
- 1 u |
| After |
1x4 =
4 u |
1 u |
Comparing Cathy
and Parry in the end |
4 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 4 is 4.
Number of lollipops that Cathy had more than Sarah
= 20 u - 2 u
= 18 u
18 u = 180
1 u = 180 ÷ 18 = 10
Number of lollipops that Sarah had at first
= 2 u
= 2 x 10
= 20
Answer(s): 20
