Opal and Pamela have some croissants each. If Opal gives Pamela 24 croissants, Opal will have
12 as many croissants as Pamela. If Opal gives Pamela 18 croissants, they will have an equal number of croissants. How many croissants does Opal have at first?
|
Case 1 |
Case 2 |
|
Opal |
Pamela |
Opal |
Pamela |
Before |
1 u + 24 |
2 u - 24 |
1.5 u + 18 |
1.5 u - 18 |
Change |
- 24 |
+ 24 |
- 18 |
+ 18 |
After |
1 u |
2 u |
1.5 u |
1.5 u |
Total number of croissants that Opal and Pamela have
= 1 u + 2 u
= 3 u
Number of croissants that Opal and Pamela each has in the end is the same.
Number of croissants that Opal and Pamela each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u
Number of croissants that Opal had at first is the same in Case 1 and Case 2.
1.5 u + 18 = 1 u + 24
1.5 u - 1 u = 24 - 18
0.5 u = 6
1 u = 6 ÷ 0.5 = 12
Number of croissants that Opal has
= 1 u + 24
= 1 x 12 + 24
= 12 + 24
= 36
Answer(s): 36