Jen had 52 cherry and cheese scones. After giving away
13 of her cherry scones and 22 of her cheese scones, she had an equal number of cherry and cheese scones. How many cheese scones did she have at first?
| |
Cherry scones |
Cheese scones |
Total |
| Before |
3 u |
2 u + 22 |
52 |
| Change |
- 1 u |
- 22 |
|
| After |
2 u |
2 u |
|
Fraction of the cherry scones left
= 1 -
13=
23 The number of cherry and cheese scones in the end is the same.
Total number of scones at first
= 3 u + 2 u + 22
= 5 u + 22
5 u + 22 = 52
5 u = 52 - 22
5 u = 30
1 u = 30 ÷ 5 = 6
Number of cheese scones at first
= 2 u + 22
= 2 x 6 + 22
= 12 + 22
= 34
Answer(s): 34
