Julian had an equal number of strawberry macarons, matcha macarons and cream macarons. After he ate 25 strawberry macarons, some matcha macarons and cream macarons, there were 59 macarons left. The number of matcha macarons he ate was twice the number of cream macarons he ate. The number of matcha macarons left was 13 more than the number of strawberry macarons left. How many strawberry macarons were there at first?
| |
Strawberry macarons |
Matcha macarons |
Cream macarons |
Total macarons |
| Before |
1 p + 25 |
1 p + 2 u + 13 |
1 p + 2 u + 13 |
|
| Change |
- 25 |
- 2 u |
- 1 u |
|
| After |
1 p |
1 p + 13 |
1 p + 13 + 1 u |
59 |
Number of matcha macarons and strawberry macarons was equal at first.
1 p + 2 u + 13 = 1 p + 25
2 u = 25 - 13
2 u = 12
1 u = 12 ÷ 2 = 6
Total number of macarons in the end
= 1 p + 1 p + 13 + 1 p + 13 + 6
= 1 p + 1 p + 1 p + 13 + 13 + 6
= 3 p + 32
3 p + 32 = 59
3 p = 59 - 32
3 p = 27
1 p = 27 ÷ 3 = 9
Number of strawberry macarons at first
= 1 p + 25
= 9 + 25
= 34
Answer(s): 34
