Sabrina and Xylia have some wafers each. If Sabrina gives Xylia 7 wafers, Sabrina will have
23 as many wafers as Xylia. If Sabrina gives Xylia 4 wafers, they will have an equal number of wafers. How many wafers does Sabrina have at first?
|
Case 1 |
Case 2 |
|
Sabrina |
Xylia |
Sabrina |
Xylia |
Before |
2 u + 7 |
3 u - 7 |
2.5 u + 4 |
2.5 u - 4 |
Change |
- 7 |
+ 7 |
- 4 |
+ 4 |
After |
2 u |
3 u |
2.5 u |
2.5 u |
Total number of wafers that Sabrina and Xylia have
= 2 u + 3 u
= 5 u
Number of wafers that Sabrina and Xylia each has in the end is the same.
Number of wafers that Sabrina and Xylia each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u
Number of wafers that Sabrina had at first is the same in Case 1 and Case 2.
2.5 u + 4 = 2 u + 7
2.5 u - 2 u = 7 - 4
0.5 u = 3
1 u = 3 ÷ 0.5 = 6
Number of wafers that Sabrina has
= 2 u + 7
= 2 x 6 + 7
= 12 + 7
= 19
Answer(s): 19