Auntie Anna baked 36 more apple muffins than cherry muffins. After she gave
12 of the apple muffins and 0.8 of the cherry muffins to Kathy, she was left with 45 fewer cherry muffins than apple muffins. How many muffins did she bake?
| |
Apple muffins |
Cherry muffins |
Comparing apple muffins
and cherry muffins
at first |
36 more |
|
Before
|
2x5 =
10 u |
+ 36 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 18 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 18 |
1x2 =
2 u |
Comparing apple muffins
and cherry muffins
in the end |
45 more
|
|
12 x 36 = 18
36 - 18 = 18
0.8 =
810 =
45If Auntie Anna baked another 45 cherry muffins, there would be equal number of apple muffins and cherry muffins in the end.
5 u + 18 = 2 u + 45
5 u - 2 u = 45 - 18
3 u = 27
1 u = 27 ÷ 3 = 9
Total muffins that Auntie Anna baked
= 10 u + 36 + 10 u
= 20 u + 36
= 20 x 9 + 36
= 180 + 36
= 216
Answer(s): 216
