Auntie Shannon baked 86 more cranberry muffins than cherry muffins. After she gave
12 of the cranberry muffins and 0.8 of the cherry muffins to Penelope, she was left with 64 fewer cherry muffins than cranberry muffins. How many muffins did she bake?
| |
Cranberry muffins |
Cherry muffins |
Comparing cranberry muffins
and cherry muffins
at first |
86 more |
|
Before
|
2x5 =
10 u |
+ 86 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 43 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 43 |
1x2 =
2 u |
Comparing cranberry muffins
and cherry muffins
in the end |
64 more
|
|
12 x 86 = 43
86 - 43 = 43
0.8 =
810 =
45If Auntie Shannon baked another 64 cherry muffins, there would be equal number of cranberry muffins and cherry muffins in the end.
5 u + 43 = 2 u + 64
5 u - 2 u = 64 - 43
3 u = 21
1 u = 21 ÷ 3 = 7
Total muffins that Auntie Shannon baked
= 10 u + 86 + 10 u
= 20 u + 86
= 20 x 7 + 86
= 140 + 86
= 226
Answer(s): 226
