Xandra had 100 cranberry and blueberry shortbreads. After giving away
13 of her cranberry shortbreads and 10 of her blueberry shortbreads, she had an equal number of cranberry and blueberry shortbreads. How many blueberry shortbreads did she have at first?
| |
Cranberry shortbreads |
Blueberry shortbreads |
Total |
| Before |
3 u |
2 u + 10 |
100 |
| Change |
- 1 u |
- 10 |
|
| After |
2 u |
2 u |
|
Fraction of the cranberry shortbreads left
= 1 -
13=
23 The number of cranberry and blueberry shortbreads in the end is the same.
Total number of shortbreads at first
= 3 u + 2 u + 10
= 5 u + 10
5 u + 10 = 100
5 u = 100 - 10
5 u = 90
1 u = 90 ÷ 5 = 18
Number of blueberry shortbreads at first
= 2 u + 10
= 2 x 18 + 10
= 36 + 10
= 46
Answer(s): 46
