Ivan had an equal number of blueberry cookies, strawberry cookies and cream cookies. After he ate 52 blueberry cookies, some strawberry cookies and cream cookies, there were 50 cookies left. The number of strawberry cookies he ate was four times the number of cream cookies he ate. The number of strawberry cookies left was 16 more than the number of blueberry cookies left. How many blueberry cookies were there at first?
| |
Blueberry cookies |
Strawberry cookies |
Cream cookies |
Total cookies |
| Before |
1 p + 52 |
1 p + 4 u + 16 |
1 p + 4 u + 16 |
|
| Change |
- 52 |
- 4 u |
- 1 u |
|
| After |
1 p |
1 p + 16 |
1 p + 16 + 1 u |
50 |
Number of strawberry cookies and blueberry cookies was equal at first.
1 p + 4 u + 16 = 1 p + 52
4 u = 52 - 16
4 u = 36
1 u = 36 ÷ 4 = 9
Total number of cookies in the end
= 1 p + 1 p + 16 + 1 p + 16 + 9
= 1 p + 1 p + 1 p + 16 + 16 + 9
= 3 p + 41
3 p + 41 = 50
3 p = 50 - 41
3 p = 9
1 p = 9 ÷ 3 = 3
Number of blueberry cookies at first
= 1 p + 52
= 3 + 52
= 55
Answer(s): 55
