Cindy had 198 less sweets than Cathy. Cathy used
78 of her sweets and Cindy used
12 of her sweets. In the end, Cathy had 3 times as much as Cindy. Find the number of sweets that Cathy had at first.
| |
Cathy |
Cindy |
Comparing Cathy
and Parry at first |
|
198 less |
| Before |
8x3 =
24 u |
2 u |
| Change |
- 7x3 =
- 21 u |
- 1 u |
| After |
1x3 =
3 u |
1 u |
Comparing Cathy
and Parry in the end |
3 u |
1 u |
The number of sweets that Cathy had in the end is repeated. Make the number of sweets that Cathy had in the end the same. LCM of 1 and 3 is 3.
Number of sweets that Cindy had less than Cathy
= 24 u - 2 u
= 22 u
22 u = 198
1 u = 198 ÷ 22 = 9
Number of sweets that Cathy had at first
= 24 u
= 24 x 9
= 216
Answer(s): 216
