Sabrina baked 48 shortbreads.
58 of the shortbreads were chocolate shortbreads. The rest were vanilla shortbreads. She gave an equal number of chocolate shortbreads and vanilla shortbreads away and had 2 times as many chocolate shortbreads as vanilla shortbreads left. How many shortbreads did she give away?
|
Chocolate shortbreads |
Vanilla shortbreads |
Difference |
Before |
5x1 = 5 u |
3x1 = 3 u |
2x1 = 2 u |
Change |
- 1 u |
- 1 u |
|
After |
2x2 = 4 u |
1x2 = 2 u |
1x2 = 2 u |
Since Sabrina gave away an equal number of chocolate shortbreads and vanilla shortbreads, the difference in the number of chocolate shortbreads and vanilla shortbreads remains unchanged. Make the difference in the chocolate shortbreads and vanilla shortbreads the same. LCM of 2 and 1 is 2.
Total number of shortbreads at first
= 5 u + 3 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Number of shortbreads that Sabrina gave away
= 1 u + 1 u
= 2 u
= 2 x 6
= 12
Answer(s): 12