Julie had 105 cheese and cranberry cupcakes. After giving away
18 of her cheese cupcakes and 15 of her cranberry cupcakes, she had an equal number of cheese and cranberry cupcakes. How many cranberry cupcakes did she have at first?
| |
Cheese cupcakes |
Cranberry cupcakes |
Total |
| Before |
8 u |
7 u + 15 |
105 |
| Change |
- 1 u |
- 15 |
|
| After |
7 u |
7 u |
|
Fraction of the cheese cupcakes left
= 1 -
18=
78 The number of cheese and cranberry cupcakes in the end is the same.
Total number of cupcakes at first
= 8 u + 7 u + 15
= 15 u + 15
15 u + 15 = 105
15 u = 105 - 15
15 u = 90
1 u = 90 ÷ 15 = 6
Number of cranberry cupcakes at first
= 7 u + 15
= 7 x 6 + 15
= 42 + 15
= 57
Answer(s): 57
