Lucy had 84 cheese and apple cupcakes. After giving away
13 of her cheese cupcakes and 24 of her apple cupcakes, she had an equal number of cheese and apple cupcakes. How many apple cupcakes did she have at first?
|
Cheese cupcakes |
Apple cupcakes |
Total |
Before |
3 u |
2 u + 24 |
84 |
Change |
- 1 u |
- 24 |
|
After |
2 u |
2 u |
|
Fraction of the cheese cupcakes left
= 1 -
13=
23 The number of cheese and apple cupcakes in the end is the same.
Total number of cupcakes at first
= 3 u + 2 u + 24
= 5 u + 24
5 u + 24 = 84
5 u = 84 - 24
5 u = 60
1 u = 60 ÷ 5 = 12
Number of apple cupcakes at first
= 2 u + 24
= 2 x 12 + 24
= 24 + 24
= 48
Answer(s): 48