Fanny had 104 more sweets than Winnie. Fanny used
78 of her sweets and Winnie used
23 of her sweets. In the end, Fanny had 2 times as much as Winnie. Find the number of sweets that Winnie had at first.
| |
Fanny |
Winnie |
Comparing Fanny
and Parry at first |
104 more |
|
| Before |
8x2 =
16 u |
3 u |
| Change |
- 7x2 =
- 14 u |
- 2 u |
| After |
1x2 =
2 u |
1 u |
Comparing Fanny
and Parry in the end |
2 u |
1 u |
The number of sweets that Fanny had in the end is repeated. Make the number of sweets that Fanny had in the end the same. LCM of 1 and 2 is 2.
Number of sweets that Fanny had more than Winnie
= 16 u - 3 u
= 13 u
13 u = 104
1 u = 104 ÷ 13 = 8
Number of sweets that Winnie had at first
= 3 u
= 3 x 8
= 24
Answer(s): 24
