Gwen had 54 apple and banana scones. After giving away
13 of her apple scones and 19 of her banana scones, she had an equal number of apple and banana scones. How many banana scones did she have at first?
| |
Apple scones |
Banana scones |
Total |
| Before |
3 u |
2 u + 19 |
54 |
| Change |
- 1 u |
- 19 |
|
| After |
2 u |
2 u |
|
Fraction of the apple scones left
= 1 -
13=
23 The number of apple and banana scones in the end is the same.
Total number of scones at first
= 3 u + 2 u + 19
= 5 u + 19
5 u + 19 = 54
5 u = 54 - 19
5 u = 35
1 u = 35 ÷ 5 = 7
Number of banana scones at first
= 2 u + 19
= 2 x 7 + 19
= 14 + 19
= 33
Answer(s): 33
