Auntie Emily baked 80 more cherry puffs than cranberry puffs. After she gave
14 of the cherry puffs and 0.4 of the cranberry puffs to Roshel, she was left with 78 fewer cranberry puffs than cherry puffs. How many puffs did she bake?
|
Cherry puffs |
Cranberry puffs |
Comparing cherry puffs and cranberry puffs at first |
80 more |
|
Before
|
4x5 = 20 u |
+ 80 |
5x4 = 20 u |
Change
|
- 1x5 = - 5 u |
- 20 |
- 2x4 = - 8 u |
After
|
3x5 = 15 u |
+ 60 |
3x4 = 12 u |
Comparing cherry puffs and cranberry puffs in the end |
78 more
|
|
14 x 80 = 20
80 - 20 = 60
0.4 =
410 =
25If Auntie Emily baked another 78 cranberry puffs, there would be equal number of cherry puffs and cranberry puffs in the end.
15 u + 60 = 12 u + 78
15 u - 12 u = 78 - 60
3 u = 18
1 u = 18 ÷ 3 = 6
Total puffs that Auntie Emily baked
= 20 u + 80 + 20 u
= 40 u + 80
= 40 x 6 + 80
= 240 + 80
= 320
Answer(s): 320