Tammy and Joelle have some biscuits each. If Tammy gives Joelle 4 biscuits, Tammy will have
34 as many biscuits as Joelle. If Tammy gives Joelle 2 biscuits, they will have an equal number of biscuits. How many biscuits does Tammy have at first?
|
Case 1 |
Case 2 |
|
Tammy |
Joelle |
Tammy |
Joelle |
Before |
3 u + 4 |
4 u - 4 |
3.5 u + 2 |
3.5 u - 2 |
Change |
- 4 |
+ 4 |
- 2 |
+ 2 |
After |
3 u |
4 u |
3.5 u |
3.5 u |
Total number of biscuits that Tammy and Joelle have
= 3 u + 4 u
= 7 u
Number of biscuits that Tammy and Joelle each has in the end is the same.
Number of biscuits that Tammy and Joelle each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u
Number of biscuits that Tammy had at first is the same in Case 1 and Case 2.
3.5 u + 2 = 3 u + 4
3.5 u - 3 u = 4 - 2
0.5 u = 2
1 u = 2 ÷ 0.5 = 4
Number of biscuits that Tammy has
= 3 u + 4
= 3 x 4 + 4
= 12 + 4
= 16
Answer(s): 16