A stallholder had the same number of starfruits, grapefruits and dragonfruits at first. After 64 dragonfruits, some starfruits and grapefruits were taken out, there were 149 fruits left. There were five times as many starfruits as grapefruits left. The number of dragonfruits left was 16 fewer than the number of starfruits. How many grapefruits were taken out?
| |
Starfruits |
Grapefruits |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 64 |
|
| After |
5 u |
1 u |
5 u - 16 |
149 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 16
= 11 u - 16
11 u - 16 = 149
11 u = 149 + 16
11 u = 165
1 u = 165 ÷ 11 = 15
Number of dragonfruits at first
= 5 u - 16 + 64
= 5 x 15 - 16 + 64
= 75 - 16 + 64
= 123
The number of grapefruits and dragonfruits at first was the same.
Number of grapefruits taken out
= 123 - 1 u
= 123 - 15
= 108
Answer(s): 108
