Tiffany had 55 more sweets than Gwen. Tiffany used
34 of her sweets and Gwen used
45 of her sweets. In the end, Tiffany had 4 times as much as Gwen. Find the number of sweets that Gwen had at first.
|
Tiffany |
Gwen |
Comparing Tiffany and Parry at first |
55 more |
|
Before |
4x4 = 16 u |
5 u |
Change |
- 3x4 = - 12 u |
- 4 u |
After |
1x4 = 4 u |
1 u |
Comparing Tiffany and Parry in the end |
4 u |
1 u |
The number of sweets that Tiffany had in the end is repeated. Make the number of sweets that Tiffany had in the end the same. LCM of 1 and 4 is 4.
Number of sweets that Tiffany had more than Gwen
= 16 u - 5 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Number of sweets that Gwen had at first
= 5 u
= 5 x 5
= 25
Answer(s): 25