Emily baked 105 scones.
35 of the scones were strawberry scones. The rest were vanilla scones. She gave an equal number of strawberry scones and vanilla scones away and had 4 times as many strawberry scones as vanilla scones left. How many scones did she give away?
|
Strawberry scones |
Vanilla scones |
Difference |
Before |
3x3 = 9 u |
2x3 = 6 u |
1x3 = 3 u |
Change |
- 5 u |
- 5 u |
|
After |
4x1 = 4 u |
1x1 = 1 u |
3x1 = 3 u |
Since Emily gave away an equal number of strawberry scones and vanilla scones, the difference in the number of strawberry scones and vanilla scones remains unchanged. Make the difference in the strawberry scones and vanilla scones the same. LCM of 1 and 3 is 3.
Total number of scones at first
= 9 u + 6 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Number of scones that Emily gave away
= 5 u + 5 u
= 10 u
= 10 x 7
= 70
Answer(s): 70