Cindy had 79 cherry and cranberry cupcakes. After giving away
15 of her cherry cupcakes and 16 of her cranberry cupcakes, she had an equal number of cherry and cranberry cupcakes. How many cranberry cupcakes did she have at first?
| |
Cherry cupcakes |
Cranberry cupcakes |
Total |
| Before |
5 u |
4 u + 16 |
79 |
| Change |
- 1 u |
- 16 |
|
| After |
4 u |
4 u |
|
Fraction of the cherry cupcakes left
= 1 -
15=
45 The number of cherry and cranberry cupcakes in the end is the same.
Total number of cupcakes at first
= 5 u + 4 u + 16
= 9 u + 16
9 u + 16 = 79
9 u = 79 - 16
9 u = 63
1 u = 63 ÷ 9 = 7
Number of cranberry cupcakes at first
= 4 u + 16
= 4 x 7 + 16
= 28 + 16
= 44
Answer(s): 44
