Jaslyn and Tina have some croissants each. If Jaslyn gives Tina 12 croissants, Jaslyn will have
47 as many croissants as Tina. If Jaslyn gives Tina 2 croissants, they will have an equal number of croissants. How many croissants does Tina have at first?
|
Case 1 |
Case 2 |
|
Jaslyn |
Tina |
Jaslyn |
Tina |
Before |
4 u + 12 |
7 u - 12 |
5.5 u + 2 |
5.5 u - 2 |
Change |
- 12 |
+ 12 |
- 2 |
+ 2 |
After |
4 u |
7 u |
5.5 u |
5.5 u |
Total number of croissants that Jaslyn and Tina have
= 4 u + 7 u
= 11 u
Number of croissants that Jaslyn and Tina each has in the end is the same.
Number of croissants that Jaslyn and Tina each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u
Number of croissants that Jaslyn had at first is the same in Case 1 and Case 2.
5.5 u + 2 = 4 u + 12
5.5 u - 4 u = 12 - 2
0.5 u = 10
1 u = 10 ÷ 0.5 = 20
Number of croissants that Tina has
= 7 u - 12
= 7 x 20 - 12
= 140 - 12
= 128
Answer(s): 128