Auntie Gem baked 68 more cherry muffins than chocolate chip muffins. After she gave
14 of the cherry muffins and 0.6 of the chocolate chip muffins to Shannon, she was left with 86 fewer chocolate chip muffins than cherry muffins. How many muffins did she bake?
| |
Cherry muffins |
Chocolate Chip muffins |
Comparing cherry muffins
and chocolate chip muffins
at first |
68 more |
|
Before
|
4x5 =
20 u |
+ 68 |
5x4 =
20 u |
Change
|
- 1x5 =
- 5 u |
- 17 |
- 3x4 =
- 12 u |
After
|
3x5 =
15 u |
+ 51 |
2x4 =
8 u |
Comparing cherry muffins
and chocolate chip muffins
in the end |
86 more
|
|
14 x 68 = 17
68 - 17 = 51
0.6 =
610 =
35If Auntie Gem baked another 86 chocolate chip muffins, there would be equal number of cherry muffins and chocolate chip muffins in the end.
15 u + 51 = 8 u + 86
15 u - 8 u = 86 - 51
7 u = 35
1 u = 35 ÷ 7 = 5
Total muffins that Auntie Gem baked
= 20 u + 68 + 20 u
= 40 u + 68
= 40 x 5 + 68
= 200 + 68
= 268
Answer(s): 268
