Emma baked 90 puffs.
35 of the puffs were chocolate puffs. The rest were matcha puffs. She gave an equal number of chocolate puffs and matcha puffs away and had 4 times as many chocolate puffs as matcha puffs left. How many puffs did she give away?
|
Chocolate puffs |
Matcha puffs |
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 Emma gave away an equal number of chocolate puffs and matcha puffs, the difference in the number of chocolate puffs and matcha puffs remains unchanged. Make the difference in the chocolate puffs and matcha puffs the same. LCM of 1 and 3 is 3.
Total number of puffs at first
= 9 u + 6 u
= 15 u
15 u = 90
1 u = 90 ÷ 15 = 6
Number of puffs that Emma gave away
= 5 u + 5 u
= 10 u
= 10 x 6
= 60
Answer(s): 60