Emma and Zoe have some croissants each. If Emma gives Zoe 11 croissants, Emma will have
12 as many croissants as Zoe. If Emma gives Zoe 8 croissants, they will have an equal number of croissants. How many croissants does Emma have at first?
|
Case 1 |
Case 2 |
|
Emma |
Zoe |
Emma |
Zoe |
Before |
1 u + 11 |
2 u - 11 |
1.5 u + 8 |
1.5 u - 8 |
Change |
- 11 |
+ 11 |
- 8 |
+ 8 |
After |
1 u |
2 u |
1.5 u |
1.5 u |
Total number of croissants that Emma and Zoe have
= 1 u + 2 u
= 3 u
Number of croissants that Emma and Zoe each has in the end is the same.
Number of croissants that Emma and Zoe each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u
Number of croissants that Emma had at first is the same in Case 1 and Case 2.
1.5 u + 8 = 1 u + 11
1.5 u - 1 u = 11 - 8
0.5 u = 3
1 u = 3 ÷ 0.5 = 6
Number of croissants that Emma has
= 1 u + 11
= 1 x 6 + 11
= 6 + 11
= 17
Answer(s): 17