Yoko baked 24 shortbreads.
58 of the shortbreads were mango shortbreads. The rest were chocolate shortbreads. She gave an equal number of mango shortbreads and chocolate shortbreads away and had 2 times as many mango shortbreads as chocolate shortbreads left. How many shortbreads did she give away?
|
Mango shortbreads |
Chocolate 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 Yoko gave away an equal number of mango shortbreads and chocolate shortbreads, the difference in the number of mango shortbreads and chocolate shortbreads remains unchanged. Make the difference in the mango shortbreads and chocolate shortbreads the same. LCM of 2 and 1 is 2.
Total number of shortbreads at first
= 5 u + 3 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Number of shortbreads that Yoko gave away
= 1 u + 1 u
= 2 u
= 2 x 3
= 6
Answer(s): 6