Fanny had 107 cheese and cranberry tarts. After giving away
17 of her cheese tarts and 16 of her cranberry tarts, she had an equal number of cheese and cranberry tarts. How many cranberry tarts did she have at first?
|
Cheese tarts |
Cranberry tarts |
Total |
Before |
7 u |
6 u + 16 |
107 |
Change |
- 1 u |
- 16 |
|
After |
6 u |
6 u |
|
Fraction of the cheese tarts left
= 1 -
17=
67 The number of cheese and cranberry tarts in the end is the same.
Total number of tarts at first
= 7 u + 6 u + 16
= 13 u + 16
13 u + 16 = 107
13 u = 107 - 16
13 u = 91
1 u = 91 ÷ 13 = 7
Number of cranberry tarts at first
= 6 u + 16
= 6 x 7 + 16
= 42 + 16
= 58
Answer(s): 58