Ahmad had an equal number of matcha wafers, blueberry wafers and cream wafers. After he ate 25 matcha wafers, some blueberry wafers and cream wafers, there were 36 wafers left. The number of blueberry wafers he ate was thrice the number of cream wafers he ate. The number of blueberry wafers left was 13 more than the number of matcha wafers left. How many matcha wafers were there at first?
|
Matcha wafers |
Blueberry wafers |
Cream wafers |
Total wafers |
Before |
1 p + 25 |
1 p + 3 u + 13 |
1 p + 3 u + 13 |
|
Change |
- 25 |
- 3 u |
- 1 u |
|
After |
1 p |
1 p + 13 |
1 p + 13 + 1 u |
36 |
Number of blueberry wafers and matcha wafers was equal at first.
1 p + 3 u + 13 = 1 p + 25
3 u = 25 - 13
3 u = 12
1 u = 12 ÷ 3 = 4
Total number of wafers in the end
= 1 p + 1 p + 13 + 1 p + 13 + 4
= 1 p + 1 p + 1 p + 13 + 13 + 4
= 3 p + 30
3 p + 30 = 36
3 p = 36 - 30
3 p = 6
1 p = 6 ÷ 3 = 2
Number of matcha wafers at first
= 1 p + 25
= 2 + 25
= 27
Answer(s): 27