Shannon had 52 cherry and apricot muffins. After giving away
13 of her cherry muffins and 12 of her apricot muffins, she had an equal number of cherry and apricot muffins. How many apricot muffins did she have at first?
| |
Cherry muffins |
Apricot muffins |
Total |
| Before |
3 u |
2 u + 12 |
52 |
| Change |
- 1 u |
- 12 |
|
| After |
2 u |
2 u |
|
Fraction of the cherry muffins left
= 1 -
13=
23 The number of cherry and apricot muffins in the end is the same.
Total number of muffins at first
= 3 u + 2 u + 12
= 5 u + 12
5 u + 12 = 52
5 u = 52 - 12
5 u = 40
1 u = 40 ÷ 5 = 8
Number of apricot muffins at first
= 2 u + 12
= 2 x 8 + 12
= 16 + 12
= 28
Answer(s): 28
