Cindy had 22 more sweets than Zoe. Cindy used
45 of her sweets and Zoe used
34 of her sweets. In the end, Cindy had 3 times as much as Zoe. Find the number of sweets that Zoe had at first.
| |
Cindy |
Zoe |
Comparing Cindy
and Parry at first |
22 more |
|
| Before |
5x3 =
15 u |
4 u |
| Change |
- 4x3 =
- 12 u |
- 3 u |
| After |
1x3 =
3 u |
1 u |
Comparing Cindy
and Parry in the end |
3 u |
1 u |
The number of sweets that Cindy had in the end is repeated. Make the number of sweets that Cindy had in the end the same. LCM of 1 and 3 is 3.
Number of sweets that Cindy had more than Zoe
= 15 u - 4 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of sweets that Zoe had at first
= 4 u
= 4 x 2
= 8
Answer(s): 8
