Auntie Zara baked 63 more cherry muffins than apple muffins. After she gave
27 of the cherry muffins and 0.6 of the apple muffins to Tammy, she was left with 100 fewer apple muffins than cherry muffins. How many muffins did she bake?
| |
Cherry muffins |
Apple muffins |
Comparing cherry muffins
and apple muffins
at first |
63 more |
|
Before
|
7x5 =
35 u |
+ 63 |
5x7 =
35 u |
Change
|
- 2x5 =
- 10 u |
- 18 |
- 3x7 =
- 21 u |
After
|
5x5 =
25 u |
+ 45 |
2x7 =
14 u |
Comparing cherry muffins
and apple muffins
in the end |
100 more
|
|
27 x 63 = 18
63 - 18 = 45
0.6 =
610 =
35If Auntie Zara baked another 100 apple muffins, there would be equal number of cherry muffins and apple muffins in the end.
25 u + 45 = 14 u + 100
25 u - 14 u = 100 - 45
11 u = 55
1 u = 55 ÷ 11 = 5
Total muffins that Auntie Zara baked
= 35 u + 63 + 35 u
= 70 u + 63
= 70 x 5 + 63
= 350 + 63
= 413
Answer(s): 413
