Brandon had an equal number of blueberry biscuits, strawberry biscuits and cream biscuits. After he ate 36 blueberry biscuits, some strawberry biscuits and cream biscuits, there were 84 biscuits left. The number of strawberry biscuits he ate was twice the number of cream biscuits he ate. The number of strawberry biscuits left was 20 more than the number of blueberry biscuits left. How many blueberry biscuits were there at first?
| |
Blueberry biscuits |
Strawberry biscuits |
Cream biscuits |
Total biscuits |
| Before |
1 p + 36 |
1 p + 2 u + 20 |
1 p + 2 u + 20 |
|
| Change |
- 36 |
- 2 u |
- 1 u |
|
| After |
1 p |
1 p + 20 |
1 p + 20 + 1 u |
84 |
Number of strawberry biscuits and blueberry biscuits was equal at first.
1 p + 2 u + 20 = 1 p + 36
2 u = 36 - 20
2 u = 16
1 u = 16 ÷ 2 = 8
Total number of biscuits in the end
= 1 p + 1 p + 20 + 1 p + 20 + 8
= 1 p + 1 p + 1 p + 20 + 20 + 8
= 3 p + 48
3 p + 48 = 84
3 p = 84 - 48
3 p = 36
1 p = 36 ÷ 3 = 12
Number of blueberry biscuits at first
= 1 p + 36
= 12 + 36
= 48
Answer(s): 48
