The number of purple grapes is the same as the number of green grapes in a bag. After removing
25 of the grapes, there were 37 purple grapes and 107 green grapes left in the bag. Then, another 27 purple grapes and 27 green grapes were removed and there were
38 of the grapes left in the end. How many purple grapes were removed altogether?
| |
Purple Grapes |
Green Grapes |
Total |
| Before |
1 p
120 |
1 p
120 |
8 u |
| Change 1 |
- ? (25 of the total) |
- 5 u |
| After 1 |
37 |
107 |
| Change 2 |
- 27 |
- 27 |
| After 2 |
90 |
3 u |
Number of grapes left
= 37 + 107 - 27 - 27
= 90
3 u = 90
1 u = 90 ÷ 3 = 30
Total number of grapes at first
= 8 u
= 8 x 30
= 240
Number of purple grapes at first
= 240 ÷ 2
= 120
Number of purple grapes removed at first
= 120 - 37
= 83
Total number of purple grapes removed
= 83 + 27
= 110
Answer(s): 110
