Vaidev had an equal number of blueberry puffs, cream puffs and matcha puffs. After he ate 35 blueberry puffs, some cream puffs and matcha puffs, there were 61 puffs left. The number of cream puffs he ate was four times the number of matcha puffs he ate. The number of cream puffs left was 11 more than the number of blueberry puffs left. How many blueberry puffs were there at first?
|
Blueberry puffs |
Cream puffs |
Matcha puffs |
Total puffs |
Before |
1 p + 35 |
1 p + 4 u + 11 |
1 p + 4 u + 11 |
|
Change |
- 35 |
- 4 u |
- 1 u |
|
After |
1 p |
1 p + 11 |
1 p + 11 + 1 u |
61 |
Number of cream puffs and blueberry puffs was equal at first.
1 p + 4 u + 11 = 1 p + 35
4 u = 35 - 11
4 u = 24
1 u = 24 ÷ 4 = 6
Total number of puffs in the end
= 1 p + 1 p + 11 + 1 p + 11 + 6
= 1 p + 1 p + 1 p + 11 + 11 + 6
= 3 p + 28
3 p + 28 = 61
3 p = 61 - 28
3 p = 33
1 p = 33 ÷ 3 = 11
Number of blueberry puffs at first
= 1 p + 35
= 11 + 35
= 46
Answer(s): 46