Tammy and Eva have some biscuits each. If Tammy gives Eva 18 biscuits, Tammy will have
34 as many biscuits as Eva. If Tammy gives Eva 7 biscuits, they will have an equal number of biscuits. How many biscuits does Eva have at first?
|
Case 1 |
Case 2 |
|
Tammy |
Eva |
Tammy |
Eva |
Before |
3 u + 18 |
4 u - 18 |
3.5 u + 7 |
3.5 u - 7 |
Change |
- 18 |
+ 18 |
- 7 |
+ 7 |
After |
3 u |
4 u |
3.5 u |
3.5 u |
Total number of biscuits that Tammy and Eva have
= 3 u + 4 u
= 7 u
Number of biscuits that Tammy and Eva each has in the end is the same.
Number of biscuits that Tammy and Eva 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 + 7 = 3 u + 18
3.5 u - 3 u = 18 - 7
0.5 u = 11
1 u = 11 ÷ 0.5 = 22
Number of biscuits that Eva has
= 4 u - 18
= 4 x 22 - 18
= 88 - 18
= 70
Answer(s): 70