Tammy and Kimberly have some wafers each. If Tammy gives Kimberly 32 wafers, Tammy will have
25 as many wafers as Kimberly. If Tammy gives Kimberly 5 wafers, they will have an equal number of wafers. How many wafers does Kimberly have at first?
|
Case 1 |
Case 2 |
|
Tammy |
Kimberly |
Tammy |
Kimberly |
Before |
2 u + 32 |
5 u - 32 |
3.5 u + 5 |
3.5 u - 5 |
Change |
- 32 |
+ 32 |
- 5 |
+ 5 |
After |
2 u |
5 u |
3.5 u |
3.5 u |
Total number of wafers that Tammy and Kimberly have
= 2 u + 5 u
= 7 u
Number of wafers that Tammy and Kimberly each has in the end is the same.
Number of wafers that Tammy and Kimberly each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u
Number of wafers that Tammy had at first is the same in Case 1 and Case 2.
3.5 u + 5 = 2 u + 32
3.5 u - 2 u = 32 - 5
0.5 u = 27
1 u = 27 ÷ 0.5 = 54
Number of wafers that Kimberly has
= 5 u - 32
= 5 x 54 - 32
= 270 - 32
= 238
Answer(s): 238