Penelope had 84 cranberry and banana shortbreads. After giving away
13 of her cranberry shortbreads and 24 of her banana shortbreads, she had an equal number of cranberry and banana shortbreads. How many banana shortbreads did she have at first?
| |
Cranberry shortbreads |
Banana shortbreads |
Total |
| Before |
3 u |
2 u + 24 |
84 |
| Change |
- 1 u |
- 24 |
|
| After |
2 u |
2 u |
|
Fraction of the cranberry shortbreads left
= 1 -
13=
23 The number of cranberry and banana shortbreads in the end is the same.
Total number of shortbreads 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 banana shortbreads at first
= 2 u + 24
= 2 x 12 + 24
= 24 + 24
= 48
Answer(s): 48
