Cathy had 61 banana and cheese cupcakes. After giving away
15 of her banana cupcakes and 16 of her cheese cupcakes, she had an equal number of banana and cheese cupcakes. How many cheese cupcakes did she have at first?
| |
Banana cupcakes |
Cheese cupcakes |
Total |
| Before |
5 u |
4 u + 16 |
61 |
| Change |
- 1 u |
- 16 |
|
| After |
4 u |
4 u |
|
Fraction of the banana cupcakes left
= 1 -
15=
45 The number of banana and cheese cupcakes in the end is the same.
Total number of cupcakes at first
= 5 u + 4 u + 16
= 9 u + 16
9 u + 16 = 61
9 u = 61 - 16
9 u = 45
1 u = 45 ÷ 9 = 5
Number of cheese cupcakes at first
= 4 u + 16
= 4 x 5 + 16
= 20 + 16
= 36
Answer(s): 36
