Betty had 80 chocolate chip and cranberry cupcakes. After giving away
13 of her chocolate chip cupcakes and 10 of her cranberry cupcakes, she had an equal number of chocolate chip and cranberry cupcakes. How many cranberry cupcakes did she have at first?
| |
Chocolate Chip cupcakes |
Cranberry cupcakes |
Total |
| Before |
3 u |
2 u + 10 |
80 |
| Change |
- 1 u |
- 10 |
|
| After |
2 u |
2 u |
|
Fraction of the chocolate chip cupcakes left
= 1 -
13=
23 The number of chocolate chip and cranberry cupcakes in the end is the same.
Total number of cupcakes at first
= 3 u + 2 u + 10
= 5 u + 10
5 u + 10 = 80
5 u = 80 - 10
5 u = 70
1 u = 70 ÷ 5 = 14
Number of cranberry cupcakes at first
= 2 u + 10
= 2 x 14 + 10
= 28 + 10
= 38
Answer(s): 38
