The number of purple grapes is the same as the number of red grapes in a bag. After removing
14 of the grapes, there were 35 purple grapes and 85 red grapes left in the bag. Then, another 30 purple grapes and 30 red grapes were removed and there were
38 of the grapes left in the end. How many purple grapes were removed altogether?
| |
Purple Grapes |
Red Grapes |
Total |
| Before |
1 p
80 |
1 p
80 |
8 u |
| Change 1 |
- ? (14 of the total) |
- 5 u |
| After 1 |
35 |
85 |
| Change 2 |
- 30 |
- 30 |
| After 2 |
60 |
3 u |
Number of grapes left
= 35 + 85 - 30 - 30
= 60
3 u = 60
1 u = 60 ÷ 3 = 20
Total number of grapes at first
= 8 u
= 8 x 20
= 160
Number of purple grapes at first
= 160 ÷ 2
= 80
Number of purple grapes removed at first
= 80 - 35
= 45
Total number of purple grapes removed
= 45 + 30
= 75
Answer(s): 75
