Zeph had an equal number of cream macarons, strawberry macarons and matcha macarons. After he ate 32 cream macarons, some strawberry macarons and matcha macarons, there were 67 macarons left. The number of strawberry macarons he ate was twice the number of matcha macarons he ate. The number of strawberry macarons left was 18 more than the number of cream macarons left. How many cream macarons were there at first?
|
Cream macarons |
Strawberry macarons |
Matcha macarons |
Total macarons |
Before |
1 p + 32 |
1 p + 2 u + 18 |
1 p + 2 u + 18 |
|
Change |
- 32 |
- 2 u |
- 1 u |
|
After |
1 p |
1 p + 18 |
1 p + 18 + 1 u |
67 |
Number of strawberry macarons and cream macarons was equal at first.
1 p + 2 u + 18 = 1 p + 32
2 u = 32 - 18
2 u = 14
1 u = 14 ÷ 2 = 7
Total number of macarons in the end
= 1 p + 1 p + 18 + 1 p + 18 + 7
= 1 p + 1 p + 1 p + 18 + 18 + 7
= 3 p + 43
3 p + 43 = 67
3 p = 67 - 43
3 p = 24
1 p = 24 ÷ 3 = 8
Number of cream macarons at first
= 1 p + 32
= 8 + 32
= 40
Answer(s): 40