Penelope had an equal number of papayas and pomegranates at first. She sold one-third of the pomegranates and bought another 84 papayas. In the end, she had five times as many papayas as pomegranates. Find the number of pomegranates she had at first.
| |
Pomegranates |
Papayas |
| Before |
3 u |
10 u - 84 |
| Change |
- 1 u |
+ 84 |
| After |
2 u |
10 u |
The number of papayas and pomegranates at first is the same.
10 u - 84 = 3 u
10 u - 3 u = 84
7 u = 84
1 u = 84 ÷ 7 = 12
Number of pomegranates that she had at first
= 3 u
= 3 x 12
= 36
Answer(s): 36
