Auntie Cindy baked 48 more apple puffs than cranberry puffs. After she gave
18 of the apple puffs and 0.8 of the cranberry puffs to Gwen, she was left with 96 fewer cranberry puffs than apple puffs. How many puffs did she bake?
|
Apple puffs |
Cranberry puffs |
Comparing apple puffs and cranberry puffs at first |
48 more |
|
Before
|
8x5 = 40 u |
+ 48 |
5x8 = 40 u |
Change
|
- 1x5 = - 5 u |
- 6 |
- 4x8 = - 32 u |
After
|
7x5 = 35 u |
+ 42 |
1x8 = 8 u |
Comparing apple puffs and cranberry puffs in the end |
96 more
|
|
18 x 48 = 6
48 - 6 = 42
0.8 =
810 =
45If Auntie Cindy baked another 96 cranberry puffs, there would be equal number of apple puffs and cranberry puffs in the end.
35 u + 42 = 8 u + 96
35 u - 8 u = 96 - 42
27 u = 54
1 u = 54 ÷ 27 = 2
Total puffs that Auntie Cindy baked
= 40 u + 48 + 40 u
= 80 u + 48
= 80 x 2 + 48
= 160 + 48
= 208
Answer(s): 208