Ken had an equal number of strawberry scones, vanila scones and cream scones. After he ate 35 strawberry scones, some vanila scones and cream scones, there were 54 scones left. The number of vanila scones he ate was thrice the number of cream scones he ate. The number of vanila scones left was 11 more than the number of strawberry scones left. How many strawberry scones were there at first?
|
Strawberry scones |
Vanila scones |
Cream scones |
Total scones |
Before |
1 p + 35 |
1 p + 3 u + 11 |
1 p + 3 u + 11 |
|
Change |
- 35 |
- 3 u |
- 1 u |
|
After |
1 p |
1 p + 11 |
1 p + 11 + 1 u |
54 |
Number of vanila scones and strawberry scones was equal at first.
1 p + 3 u + 11 = 1 p + 35
3 u = 35 - 11
3 u = 24
1 u = 24 ÷ 3 = 8
Total number of scones in the end
= 1 p + 1 p + 11 + 1 p + 11 + 8
= 1 p + 1 p + 1 p + 11 + 11 + 8
= 3 p + 30
3 p + 30 = 54
3 p = 54 - 30
3 p = 24
1 p = 24 ÷ 3 = 8
Number of strawberry scones at first
= 1 p + 35
= 8 + 35
= 43
Answer(s): 43