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 50 purple grapes and 34 green grapes left in the bag. Then, another 21 purple grapes and 21 green grapes were removed and there were
310 of the grapes left in the end. How many purple grapes were removed altogether?
| |
Purple Grapes |
Green Grapes |
Total |
| Before |
1 p
70 |
1 p
70 |
10 u |
| Change 1 |
- ? (25 of the total) |
- 7 u |
| After 1 |
50 |
34 |
| Change 2 |
- 21 |
- 21 |
| After 2 |
42 |
3 u |
Number of grapes left
= 50 + 34 - 21 - 21
= 42
3 u = 42
1 u = 42 ÷ 3 = 14
Total number of grapes at first
= 10 u
= 10 x 14
= 140
Number of purple grapes at first
= 140 ÷ 2
= 70
Number of purple grapes removed at first
= 70 - 50
= 20
Total number of purple grapes removed
= 20 + 21
= 41
Answer(s): 41
