Auntie Jane baked 36 more cherry muffins than apple muffins. After she gave
23 of the cherry muffins and 0.8 of the apple muffins to Kimberly, she was left with 26 fewer apple muffins than cherry muffins. How many muffins did she bake?
| |
Cherry muffins |
Apple muffins |
Comparing cherry muffins
and apple muffins
at first |
36 more |
|
Before
|
3x5 =
15 u |
+ 36 |
5x3 =
15 u |
Change
|
- 2x5 =
- 10 u |
- 24 |
- 4x3 =
- 12 u |
After
|
1x5 =
5 u |
+ 12 |
1x3 =
3 u |
Comparing cherry muffins
and apple muffins
in the end |
26 more
|
|
23 x 36 = 24
36 - 24 = 12
0.8 =
810 =
45If Auntie Jane baked another 26 apple muffins, there would be equal number of cherry muffins and apple muffins in the end.
5 u + 12 = 3 u + 26
5 u - 3 u = 26 - 12
2 u = 14
1 u = 14 ÷ 2 = 7
Total muffins that Auntie Jane baked
= 15 u + 36 + 15 u
= 30 u + 36
= 30 x 7 + 36
= 210 + 36
= 246
Answer(s): 246
