Lee had an equal number of matcha muffins, chocolate muffins and cream muffins. After he ate 33 matcha muffins, some chocolate muffins and cream muffins, there were 69 muffins left. The number of chocolate muffins he ate was twice the number of cream muffins he ate. The number of chocolate muffins left was 13 more than the number of matcha muffins left. How many matcha muffins were there at first?
|
Matcha muffins |
Chocolate muffins |
Cream muffins |
Total muffins |
Before |
1 p + 33 |
1 p + 2 u + 13 |
1 p + 2 u + 13 |
|
Change |
- 33 |
- 2 u |
- 1 u |
|
After |
1 p |
1 p + 13 |
1 p + 13 + 1 u |
69 |
Number of chocolate muffins and matcha muffins was equal at first.
1 p + 2 u + 13 = 1 p + 33
2 u = 33 - 13
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of muffins in the end
= 1 p + 1 p + 13 + 1 p + 13 + 10
= 1 p + 1 p + 1 p + 13 + 13 + 10
= 3 p + 36
3 p + 36 = 69
3 p = 69 - 36
3 p = 33
1 p = 33 ÷ 3 = 11
Number of matcha muffins at first
= 1 p + 33
= 11 + 33
= 44
Answer(s): 44