Jack had an equal number of cream scones, vanila scones and blueberry scones. After he ate 35 cream scones, some vanila scones and blueberry scones, there were 43 scones left. The number of vanila scones he ate was four times the number of blueberry scones he ate. The number of vanila scones left was 11 more than the number of cream scones left. How many cream scones were there at first?
|
Cream scones |
Vanila scones |
Blueberry scones |
Total scones |
Before |
1 p + 35 |
1 p + 4 u + 11 |
1 p + 4 u + 11 |
|
Change |
- 35 |
- 4 u |
- 1 u |
|
After |
1 p |
1 p + 11 |
1 p + 11 + 1 u |
43 |
Number of vanila scones and cream scones was equal at first.
1 p + 4 u + 11 = 1 p + 35
4 u = 35 - 11
4 u = 24
1 u = 24 ÷ 4 = 6
Total number of scones in the end
= 1 p + 1 p + 11 + 1 p + 11 + 6
= 1 p + 1 p + 1 p + 11 + 11 + 6
= 3 p + 28
3 p + 28 = 43
3 p = 43 - 28
3 p = 15
1 p = 15 ÷ 3 = 5
Number of cream scones at first
= 1 p + 35
= 5 + 35
= 40
Answer(s): 40