Auntie Erika baked 87 more vanilla puffs than cherry puffs. After she gave
23 of the vanilla puffs and 0.8 of the cherry puffs to Fanny, she was left with 45 fewer cherry puffs than vanilla puffs. How many puffs did she bake?
| |
Vanilla puffs |
Cherry puffs |
Comparing vanilla puffs
and cherry puffs
at first |
87 more |
|
Before
|
3x5 =
15 u |
+ 87 |
5x3 =
15 u |
Change
|
- 2x5 =
- 10 u |
- 58 |
- 4x3 =
- 12 u |
After
|
1x5 =
5 u |
+ 29 |
1x3 =
3 u |
Comparing vanilla puffs
and cherry puffs
in the end |
45 more
|
|
23 x 87 = 58
87 - 58 = 29
0.8 =
810 =
45If Auntie Erika baked another 45 cherry puffs, there would be equal number of vanilla puffs and cherry puffs in the end.
5 u + 29 = 3 u + 45
5 u - 3 u = 45 - 29
2 u = 16
1 u = 16 ÷ 2 = 8
Total puffs that Auntie Erika baked
= 15 u + 87 + 15 u
= 30 u + 87
= 30 x 8 + 87
= 240 + 87
= 327
Answer(s): 327
