Xuan had an equal number of grapefruits and plums at first. She sold two-thirds of the plums and bought another 64 grapefruits. In the end, she had five times as many grapefruits as plums. Find the number of plums she had at first.
| |
Plums |
Grapefruits |
| Before |
3 u |
5 u - 64 |
| Change |
- 2 u |
+ 64 |
| After |
1 u |
5 u |
The number of grapefruits and plums at first is the same.
5 u - 64 = 3 u
5 u - 3 u = 64
2 u = 64
1 u = 64 ÷ 2 = 32
Number of plums that she had at first
= 3 u
= 3 x 32
= 96
Answer(s): 96
