A stallholder had the same number of persimmons, grapefruits and chikoos at first. After 146 chikoos, some persimmons and grapefruits were used, there were 179 fruits left. There were thrice as many persimmons as grapefruits left. The number of chikoos left was 10 fewer than the number of persimmons. How many grapefruits were used?
| |
Persimmons |
Grapefruits |
Chikoos |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 146 |
|
| After |
3 u |
1 u |
3 u - 10 |
179 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 10
= 7 u - 10
7 u - 10 = 179
7 u = 179 + 10
7 u = 189
1 u = 189 ÷ 7 = 27
Number of chikoos at first
= 3 u - 10 + 146
= 3 x 27 - 10 + 146
= 81 - 10 + 146
= 217
The number of grapefruits and chikoos at first was the same.
Number of grapefruits used
= 217 - 1 u
= 217 - 27
= 190
Answer(s): 190
