Fabian had an equal number of cream macarons, strawberry macarons and blueberry macarons. After he ate 38 cream macarons, some strawberry macarons and blueberry macarons, there were 76 macarons left. The number of strawberry macarons he ate was twice the number of blueberry macarons he ate. The number of strawberry macarons left was 16 more than the number of cream macarons left. How many cream macarons were there at first?
|
Cream macarons |
Strawberry macarons |
Blueberry macarons |
Total macarons |
Before |
1 p + 38 |
1 p + 2 u + 16 |
1 p + 2 u + 16 |
|
Change |
- 38 |
- 2 u |
- 1 u |
|
After |
1 p |
1 p + 16 |
1 p + 16 + 1 u |
76 |
Number of strawberry macarons and cream macarons was equal at first.
1 p + 2 u + 16 = 1 p + 38
2 u = 38 - 16
2 u = 22
1 u = 22 ÷ 2 = 11
Total number of macarons in the end
= 1 p + 1 p + 16 + 1 p + 16 + 11
= 1 p + 1 p + 1 p + 16 + 16 + 11
= 3 p + 43
3 p + 43 = 76
3 p = 76 - 43
3 p = 33
1 p = 33 ÷ 3 = 11
Number of cream macarons at first
= 1 p + 38
= 11 + 38
= 49
Answer(s): 49