Marion baked 144 shortbreads.
58 of the shortbreads were vanilla shortbreads. The rest were peach shortbreads. She gave an equal number of vanilla shortbreads and peach shortbreads away and had 5 times as many vanilla shortbreads as peach shortbreads left. How many shortbreads did she give away?
|
Vanilla shortbreads |
Peach shortbreads |
Difference |
Before |
5x2 = 10 u |
3x2 = 6 u |
2x2 = 4 u |
Change |
- 5 u |
- 5 u |
|
After |
5x1 = 5 u |
1x1 = 1 u |
4x1 = 4 u |
Since Marion gave away an equal number of vanilla shortbreads and peach shortbreads, the difference in the number of vanilla shortbreads and peach shortbreads remains unchanged. Make the difference in the vanilla shortbreads and peach shortbreads the same. LCM of 2 and 4 is 4.
Total number of shortbreads at first
= 10 u + 6 u
= 16 u
16 u = 144
1 u = 144 ÷ 16 = 9
Number of shortbreads that Marion gave away
= 5 u + 5 u
= 10 u
= 10 x 9
= 90
Answer(s): 90