A fruit seller had the same number of mangosteens, grapefruits and pears at first. After 100 pears, some mangosteens and grapefruits were taken out, there were 187 fruits left. There were four times as many mangosteens as grapefruits left. The number of pears left was 29 fewer than the number of mangosteens. How many grapefruits were taken out?
| |
Mangosteens |
Grapefruits |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 100 |
|
| After |
4 u |
1 u |
4 u - 29 |
187 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 29
= 9 u - 29
9 u - 29 = 187
9 u = 187 + 29
9 u = 216
1 u = 216 ÷ 9 = 24
Number of pears at first
= 4 u - 29 + 100
= 4 x 24 - 29 + 100
= 96 - 29 + 100
= 167
The number of grapefruits and pears at first was the same.
Number of grapefruits taken out
= 167 - 1 u
= 167 - 24
= 143
Answer(s): 143
