Luke and Hilda had the same number of sweets. After Hilda gave away 15 sweets and Luke gave away 51 sweets, Hilda had 5 times as many sweets as Luke. How many sweets did each of them have at first?
|
Luke |
Hilda |
Before |
1 u + 51 |
5 u + 15 |
Change |
- 51 |
- 15 |
After |
1 u |
5 u |
The number of sweets that Luke and Hilda had at first is the same.
5 u + 15 = 1 u + 51
5 u - 1 u = 51 - 15
4 u = 36
1 u = 36 ÷ 4 = 9
Number of sweets that each of them had at first
= 1 u + 51
= 9 + 51
= 60
Answer(s): 60