Bryan had an equal number of matcha tarts, strawberry tarts and blueberry tarts. After he ate 48 matcha tarts, some strawberry tarts and blueberry tarts, there were 73 tarts left. The number of strawberry tarts he ate was thrice the number of blueberry tarts he ate. The number of strawberry tarts left was 18 more than the number of matcha tarts left. How many matcha tarts were there at first?
|
Matcha tarts |
Strawberry tarts |
Blueberry tarts |
Total tarts |
Before |
1 p + 48 |
1 p + 3 u + 18 |
1 p + 3 u + 18 |
|
Change |
- 48 |
- 3 u |
- 1 u |
|
After |
1 p |
1 p + 18 |
1 p + 18 + 1 u |
73 |
Number of strawberry tarts and matcha tarts was equal at first.
1 p + 3 u + 18 = 1 p + 48
3 u = 48 - 18
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of tarts in the end
= 1 p + 1 p + 18 + 1 p + 18 + 10
= 1 p + 1 p + 1 p + 18 + 18 + 10
= 3 p + 46
3 p + 46 = 73
3 p = 73 - 46
3 p = 27
1 p = 27 ÷ 3 = 9
Number of matcha tarts at first
= 1 p + 48
= 9 + 48
= 57
Answer(s): 57