George had an equal number of cream scones, matcha scones and blueberry scones. After he ate 41 cream scones, some matcha scones and blueberry scones, there were 44 scones left. The number of matcha scones he ate was thrice the number of blueberry scones he ate. The number of matcha scones left was 11 more than the number of cream scones left. How many cream scones were there at first?
|
Cream scones |
Matcha scones |
Blueberry scones |
Total scones |
Before |
1 p + 41 |
1 p + 3 u + 11 |
1 p + 3 u + 11 |
|
Change |
- 41 |
- 3 u |
- 1 u |
|
After |
1 p |
1 p + 11 |
1 p + 11 + 1 u |
44 |
Number of matcha scones and cream scones was equal at first.
1 p + 3 u + 11 = 1 p + 41
3 u = 41 - 11
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of scones in the end
= 1 p + 1 p + 11 + 1 p + 11 + 10
= 1 p + 1 p + 1 p + 11 + 11 + 10
= 3 p + 32
3 p + 32 = 44
3 p = 44 - 32
3 p = 12
1 p = 12 ÷ 3 = 4
Number of cream scones at first
= 1 p + 41
= 4 + 41
= 45
Answer(s): 45