Irene had 82 cherry and vanilla muffins. After giving away
14 of her cherry muffins and 19 of her vanilla muffins, she had an equal number of cherry and vanilla muffins. How many vanilla muffins did she have at first?
| |
Cherry muffins |
Vanilla muffins |
Total |
| Before |
4 u |
3 u + 19 |
82 |
| Change |
- 1 u |
- 19 |
|
| After |
3 u |
3 u |
|
Fraction of the cherry muffins left
= 1 -
14=
34 The number of cherry and vanilla muffins in the end is the same.
Total number of muffins at first
= 4 u + 3 u + 19
= 7 u + 19
7 u + 19 = 82
7 u = 82 - 19
7 u = 63
1 u = 63 ÷ 7 = 9
Number of vanilla muffins at first
= 3 u + 19
= 3 x 9 + 19
= 27 + 19
= 46
Answer(s): 46
