Auntie Marion baked 56 more cherry muffins than apple muffins. After she gave
38 of the cherry muffins and 0.8 of the apple muffins to Nora, she was left with 120 fewer apple muffins than cherry muffins. How many muffins did she bake?
| |
Cherry muffins |
Apple muffins |
Comparing cherry muffins
and apple muffins
at first |
56 more |
|
Before
|
8x5 =
40 u |
+ 56 |
5x8 =
40 u |
Change
|
- 3x5 =
- 15 u |
- 21 |
- 4x8 =
- 32 u |
After
|
5x5 =
25 u |
+ 35 |
1x8 =
8 u |
Comparing cherry muffins
and apple muffins
in the end |
120 more
|
|
38 x 56 = 21
56 - 21 = 35
0.8 =
810 =
45If Auntie Marion baked another 120 apple muffins, there would be equal number of cherry muffins and apple muffins in the end.
25 u + 35 = 8 u + 120
25 u - 8 u = 120 - 35
17 u = 85
1 u = 85 ÷ 17 = 5
Total muffins that Auntie Marion baked
= 40 u + 56 + 40 u
= 80 u + 56
= 80 x 5 + 56
= 400 + 56
= 456
Answer(s): 456
