Tammy and Jaslyn have some biscuits each. If Tammy gives Jaslyn 30 biscuits, Tammy will have
23 as many biscuits as Jaslyn. If Tammy gives Jaslyn 7 biscuits, they will have an equal number of biscuits. How many biscuits does Jaslyn have at first?
|
Case 1 |
Case 2 |
|
Tammy |
Jaslyn |
Tammy |
Jaslyn |
Before |
2 u + 30 |
3 u - 30 |
2.5 u + 7 |
2.5 u - 7 |
Change |
- 30 |
+ 30 |
- 7 |
+ 7 |
After |
2 u |
3 u |
2.5 u |
2.5 u |
Total number of biscuits that Tammy and Jaslyn have
= 2 u + 3 u
= 5 u
Number of biscuits that Tammy and Jaslyn each has in the end is the same.
Number of biscuits that Tammy and Jaslyn each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u
Number of biscuits that Tammy had at first is the same in Case 1 and Case 2.
2.5 u + 7 = 2 u + 30
2.5 u - 2 u = 30 - 7
0.5 u = 23
1 u = 23 ÷ 0.5 = 46
Number of biscuits that Jaslyn has
= 3 u - 30
= 3 x 46 - 30
= 138 - 30
= 108
Answer(s): 108