Min and Emily have some scones each. If Min gives Emily 27 scones, Min will have
23 as many scones as Emily. If Min gives Emily 18 scones, they will have an equal number of scones. How many scones does Min have at first?
| |
Case 1 |
Case 2 |
| |
Min |
Emily |
Min |
Emily |
| Before |
2 u + 27 |
3 u - 27 |
2.5 u + 18 |
2.5 u - 18 |
| Change |
- 27 |
+ 27 |
- 18 |
+ 18 |
| After |
2 u |
3 u |
2.5 u |
2.5 u |
Total number of scones that Min and Emily have
= 2 u + 3 u
= 5 u
Number of scones that Min and Emily each has in the end is the same.
Number of scones that Min and Emily each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u
Number of scones that Min had at first is the same in Case 1 and Case 2.
2.5 u + 18 = 2 u + 27
2.5 u - 2 u = 27 - 18
0.5 u = 9
1 u = 9 ÷ 0.5 = 18
Number of scones that Min has
= 2 u + 27
= 2 x 18 + 27
= 36 + 27
= 63
Answer(s): 63
