Jade had 91 cranberry and banana cupcakes. After giving away
14 of her cranberry cupcakes and 14 of her banana cupcakes, she had an equal number of cranberry and banana cupcakes. How many banana cupcakes did she have at first?
| |
Cranberry cupcakes |
Banana cupcakes |
Total |
| Before |
4 u |
3 u + 14 |
91 |
| Change |
- 1 u |
- 14 |
|
| After |
3 u |
3 u |
|
Fraction of the cranberry cupcakes left
= 1 -
14=
34 The number of cranberry and banana cupcakes in the end is the same.
Total number of cupcakes at first
= 4 u + 3 u + 14
= 7 u + 14
7 u + 14 = 91
7 u = 91 - 14
7 u = 77
1 u = 77 ÷ 7 = 11
Number of banana cupcakes at first
= 3 u + 14
= 3 x 11 + 14
= 33 + 14
= 47
Answer(s): 47
