Reggie had an equal number of strawberry macarons, blueberry macarons and chocolate macarons. After he ate 30 strawberry macarons, some blueberry macarons and chocolate macarons, there were 48 macarons left. The number of blueberry macarons he ate was twice the number of chocolate macarons he ate. The number of blueberry macarons left was 10 more than the number of strawberry macarons left. How many strawberry macarons were there at first?
|
Strawberry macarons |
Blueberry macarons |
Chocolate macarons |
Total macarons |
Before |
1 p + 30 |
1 p + 2 u + 10 |
1 p + 2 u + 10 |
|
Change |
- 30 |
- 2 u |
- 1 u |
|
After |
1 p |
1 p + 10 |
1 p + 10 + 1 u |
48 |
Number of blueberry macarons and strawberry macarons was equal at first.
1 p + 2 u + 10 = 1 p + 30
2 u = 30 - 10
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of macarons in the end
= 1 p + 1 p + 10 + 1 p + 10 + 10
= 1 p + 1 p + 1 p + 10 + 10 + 10
= 3 p + 30
3 p + 30 = 48
3 p = 48 - 30
3 p = 18
1 p = 18 ÷ 3 = 6
Number of strawberry macarons at first
= 1 p + 30
= 6 + 30
= 36
Answer(s): 36