Auntie Esther baked 81 more cheese puffs than vanilla puffs. After she gave
23 of the cheese puffs and 0.8 of the vanilla puffs to Fanny, she was left with 35 fewer vanilla puffs than cheese puffs. How many puffs did she bake?
|
Cheese puffs |
Vanilla puffs |
Comparing cheese puffs and vanilla puffs at first |
81 more |
|
Before
|
3x5 = 15 u |
+ 81 |
5x3 = 15 u |
Change
|
- 2x5 = - 10 u |
- 54 |
- 4x3 = - 12 u |
After
|
1x5 = 5 u |
+ 27 |
1x3 = 3 u |
Comparing cheese puffs and vanilla puffs in the end |
35 more
|
|
23 x 81 = 54
81 - 54 = 27
0.8 =
810 =
45If Auntie Esther baked another 35 vanilla puffs, there would be equal number of cheese puffs and vanilla puffs in the end.
5 u + 27 = 3 u + 35
5 u - 3 u = 35 - 27
2 u = 8
1 u = 8 ÷ 2 = 4
Total puffs that Auntie Esther baked
= 15 u + 81 + 15 u
= 30 u + 81
= 30 x 4 + 81
= 120 + 81
= 201
Answer(s): 201