Tammy and Yoko have some biscuits each. If Tammy gives Yoko 35 biscuits, Tammy will have
23 as many biscuits as Yoko. If Tammy gives Yoko 9 biscuits, they will have an equal number of biscuits. How many biscuits does Yoko have at first?
|
Case 1 |
Case 2 |
|
Tammy |
Yoko |
Tammy |
Yoko |
Before |
2 u + 35 |
3 u - 35 |
2.5 u + 9 |
2.5 u - 9 |
Change |
- 35 |
+ 35 |
- 9 |
+ 9 |
After |
2 u |
3 u |
2.5 u |
2.5 u |
Total number of biscuits that Tammy and Yoko have
= 2 u + 3 u
= 5 u
Number of biscuits that Tammy and Yoko each has in the end is the same.
Number of biscuits that Tammy and Yoko 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 + 9 = 2 u + 35
2.5 u - 2 u = 35 - 9
0.5 u = 26
1 u = 26 ÷ 0.5 = 52
Number of biscuits that Yoko has
= 3 u - 35
= 3 x 52 - 35
= 156 - 35
= 121
Answer(s): 121