The number of purple grapes is the same as the number of red grapes in a bag. After removing
25 of the grapes, there were 36 purple grapes and 72 red grapes left in the bag. Then, another 14 purple grapes and 14 red grapes were removed and there were
49 of the grapes left in the end. How many purple grapes were removed altogether?
|
Purple Grapes |
Red Grapes |
Total |
Before |
1 p 90 |
1 p 90 |
9 u |
Change 1 |
- ? (25 of the total) |
- 5 u |
After 1 |
36 |
72 |
Change 2 |
- 14 |
- 14 |
After 2 |
80 |
4 u |
Number of grapes left
= 36 + 72 - 14 - 14
= 80
4 u = 80
1 u = 80 ÷ 4 = 20
Total number of grapes at first
= 9 u
= 9 x 20
= 180
Number of purple grapes at first
= 180 ÷ 2
= 90
Number of purple grapes removed at first
= 90 - 36
= 54
Total number of purple grapes removed
= 54 + 14
= 68
Answer(s): 68