Risa and Tiffany have some muffins each. If Risa gives Tiffany 23 muffins, Risa will have
16 as many muffins as Tiffany. If Risa gives Tiffany 9 muffins, they will have an equal number of muffins. How many muffins does Tiffany have at first?
|
Case 1 |
Case 2 |
|
Risa |
Tiffany |
Risa |
Tiffany |
Before |
1 u + 23 |
6 u - 23 |
3.5 u + 9 |
3.5 u - 9 |
Change |
- 23 |
+ 23 |
- 9 |
+ 9 |
After |
1 u |
6 u |
3.5 u |
3.5 u |
Total number of muffins that Risa and Tiffany have
= 1 u + 6 u
= 7 u
Number of muffins that Risa and Tiffany each has in the end is the same.
Number of muffins that Risa and Tiffany each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u
Number of muffins that Risa had at first is the same in Case 1 and Case 2.
3.5 u + 9 = 1 u + 23
3.5 u - 1 u = 23 - 9
0.5 u = 14
1 u = 14 ÷ 0.5 = 28
Number of muffins that Tiffany has
= 6 u - 23
= 6 x 28 - 23
= 168 - 23
= 145
Answer(s): 145