Rael had an equal number of strawberry biscuits, butter biscuits and vanila biscuits. After he ate 66 strawberry biscuits, some butter biscuits and vanila biscuits, there were 64 biscuits left. The number of butter biscuits he ate was four times the number of vanila biscuits he ate. The number of butter biscuits left was 22 more than the number of strawberry biscuits left. How many strawberry biscuits were there at first?
|
Strawberry biscuits |
Butter biscuits |
Vanila biscuits |
Total biscuits |
Before |
1 p + 66 |
1 p + 4 u + 22 |
1 p + 4 u + 22 |
|
Change |
- 66 |
- 4 u |
- 1 u |
|
After |
1 p |
1 p + 22 |
1 p + 22 + 1 u |
64 |
Number of butter biscuits and strawberry biscuits was equal at first.
1 p + 4 u + 22 = 1 p + 66
4 u = 66 - 22
4 u = 44
1 u = 44 ÷ 4 = 11
Total number of biscuits in the end
= 1 p + 1 p + 22 + 1 p + 22 + 11
= 1 p + 1 p + 1 p + 22 + 22 + 11
= 3 p + 55
3 p + 55 = 64
3 p = 64 - 55
3 p = 9
1 p = 9 ÷ 3 = 3
Number of strawberry biscuits at first
= 1 p + 66
= 3 + 66
= 69
Answer(s): 69