A grocer had the same number of grapefruits, persimmons and chikoos at first. After 113 chikoos, some grapefruits and persimmons were used, there were 191 fruits left. There were thrice as many grapefruits as persimmons left. The number of chikoos left was 19 less than the number of grapefruits. How many persimmons were used?
| |
Grapefruits |
Persimmons |
Chikoos |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 113 |
|
| After |
3 u |
1 u |
3 u - 19 |
191 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 19
= 7 u - 19
7 u - 19 = 191
7 u = 191 + 19
7 u = 210
1 u = 210 ÷ 7 = 30
Number of chikoos at first
= 3 u - 19 + 113
= 3 x 30 - 19 + 113
= 90 - 19 + 113
= 184
The number of persimmons and chikoos at first was the same.
Number of persimmons used
= 184 - 1 u
= 184 - 30
= 154
Answer(s): 154
