A store owner had the same number of pears, mangoes and starfruits at first. After 107 starfruits, some pears and mangoes were taken out, there were 167 fruits left. There were five times as many pears as mangoes left. The number of starfruits left was 31 less than the number of pears. How many mangoes were taken out?
| |
Pears |
Mangoes |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 107 |
|
| After |
5 u |
1 u |
5 u - 31 |
167 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 31
= 11 u - 31
11 u - 31 = 167
11 u = 167 + 31
11 u = 198
1 u = 198 ÷ 11 = 18
Number of starfruits at first
= 5 u - 31 + 107
= 5 x 18 - 31 + 107
= 90 - 31 + 107
= 166
The number of mangoes and starfruits at first was the same.
Number of mangoes taken out
= 166 - 1 u
= 166 - 18
= 148
Answer(s): 148
