Linda had 78 more sweets than Tina. Linda used
56 of her sweets and Tina used
45 of her sweets. In the end, Linda had 3 times as much as Tina. Find the number of sweets that Tina had at first.
|
Linda |
Tina |
Comparing Linda and Parry at first |
78 more |
|
Before |
6x3 = 18 u |
5 u |
Change |
- 5x3 = - 15 u |
- 4 u |
After |
1x3 = 3 u |
1 u |
Comparing Linda and Parry in the end |
3 u |
1 u |
The number of sweets that Linda had in the end is repeated. Make the number of sweets that Linda had in the end the same. LCM of 1 and 3 is 3.
Number of sweets that Linda had more than Tina
= 18 u - 5 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Number of sweets that Tina had at first
= 5 u
= 5 x 6
= 30
Answer(s): 30