Fred had an equal number of chocolate scones, blueberry scones and cream scones. After he ate 41 chocolate scones, some blueberry scones and cream scones, there were 58 scones left. The number of blueberry scones he ate was four times the number of cream scones he ate. The number of blueberry scones left was 17 more than the number of chocolate scones left. How many chocolate scones were there at first?
|
Chocolate scones |
Blueberry scones |
Cream scones |
Total scones |
Before |
1 p + 41 |
1 p + 4 u + 17 |
1 p + 4 u + 17 |
|
Change |
- 41 |
- 4 u |
- 1 u |
|
After |
1 p |
1 p + 17 |
1 p + 17 + 1 u |
58 |
Number of blueberry scones and chocolate scones was equal at first.
1 p + 4 u + 17 = 1 p + 41
4 u = 41 - 17
4 u = 24
1 u = 24 ÷ 4 = 6
Total number of scones in the end
= 1 p + 1 p + 17 + 1 p + 17 + 6
= 1 p + 1 p + 1 p + 17 + 17 + 6
= 3 p + 40
3 p + 40 = 58
3 p = 58 - 40
3 p = 18
1 p = 18 ÷ 3 = 6
Number of chocolate scones at first
= 1 p + 41
= 6 + 41
= 47
Answer(s): 47