Bryan had an equal number of strawberry wafers, matcha wafers and cream wafers. After he ate 30 strawberry wafers, some matcha wafers and cream wafers, there were 36 wafers left. The number of matcha wafers he ate was thrice the number of cream wafers he ate. The number of matcha wafers left was 12 more than the number of strawberry wafers left. How many strawberry wafers were there at first?
|
Strawberry wafers |
Matcha wafers |
Cream wafers |
Total wafers |
Before |
1 p + 30 |
1 p + 3 u + 12 |
1 p + 3 u + 12 |
|
Change |
- 30 |
- 3 u |
- 1 u |
|
After |
1 p |
1 p + 12 |
1 p + 12 + 1 u |
36 |
Number of matcha wafers and strawberry wafers was equal at first.
1 p + 3 u + 12 = 1 p + 30
3 u = 30 - 12
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of wafers in the end
= 1 p + 1 p + 12 + 1 p + 12 + 6
= 1 p + 1 p + 1 p + 12 + 12 + 6
= 3 p + 30
3 p + 30 = 36
3 p = 36 - 30
3 p = 6
1 p = 6 ÷ 3 = 2
Number of strawberry wafers at first
= 1 p + 30
= 2 + 30
= 32
Answer(s): 32