A stallholder had the same number of mangoes, guavas and chikoos at first. After 86 chikoos, some mangoes and guavas were used, there were 150 fruits left. There were thrice as many mangoes as guavas left. The number of chikoos left was 32 less than the number of mangoes. How many guavas were used?
| |
Mangoes |
Guavas |
Chikoos |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 86 |
|
| After |
3 u |
1 u |
3 u - 32 |
150 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 32
= 7 u - 32
7 u - 32 = 150
7 u = 150 + 32
7 u = 182
1 u = 182 ÷ 7 = 26
Number of chikoos at first
= 3 u - 32 + 86
= 3 x 26 - 32 + 86
= 78 - 32 + 86
= 132
The number of guavas and chikoos at first was the same.
Number of guavas used
= 132 - 1 u
= 132 - 26
= 106
Answer(s): 106
