Caden had an equal number of matcha wafers, blueberry wafers and vanila wafers. After he ate 49 matcha wafers, some blueberry wafers and vanila wafers, there were 74 wafers left. The number of blueberry wafers he ate was four times the number of vanila wafers he ate. The number of blueberry wafers left was 25 more than the number of matcha wafers left. How many matcha wafers were there at first?
|
Matcha wafers |
Blueberry wafers |
Vanila wafers |
Total wafers |
Before |
1 p + 49 |
1 p + 4 u + 25 |
1 p + 4 u + 25 |
|
Change |
- 49 |
- 4 u |
- 1 u |
|
After |
1 p |
1 p + 25 |
1 p + 25 + 1 u |
74 |
Number of blueberry wafers and matcha wafers was equal at first.
1 p + 4 u + 25 = 1 p + 49
4 u = 49 - 25
4 u = 24
1 u = 24 ÷ 4 = 6
Total number of wafers in the end
= 1 p + 1 p + 25 + 1 p + 25 + 6
= 1 p + 1 p + 1 p + 25 + 25 + 6
= 3 p + 56
3 p + 56 = 74
3 p = 74 - 56
3 p = 18
1 p = 18 ÷ 3 = 6
Number of matcha wafers at first
= 1 p + 49
= 6 + 49
= 55
Answer(s): 55