Cathy had an equal number of mandarin oranges and pomegranates at first. She sold half of the pomegranates and bought another 78 mandarin oranges. In the end, she had four times as many mandarin oranges as pomegranates. Find the number of pomegranates she had at first.
| |
Pomegranates |
Mandarin Oranges |
| Before |
2 u |
4 u - 78 |
| Change |
- 1 u |
+ 78 |
| After |
1 u |
4 u |
The number of mandarin oranges and pomegranates at first is the same.
4 u - 78 = 2 u
4 u - 2 u = 78
2 u = 78
1 u = 78 ÷ 2 = 39
Number of pomegranates that she had at first
= 2 u
= 2 x 39
= 78
Answer(s): 78
