The number of purple grapes is the same as the number of green grapes in a bag. After removing
18 of the grapes, there were 34 purple grapes and 176 green grapes left in the bag. Then, another 60 purple grapes and 60 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 |
- ? (18 of the total) |
- 5 u |
| After 1 |
34 |
176 |
| Change 2 |
- 60 |
- 60 |
| After 2 |
90 |
3 u |
Number of grapes left
= 34 + 176 - 60 - 60
= 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 - 34
= 86
Total number of purple grapes removed
= 86 + 60
= 146
Answer(s): 146
