Auntie Ivory baked 24 less chocolate chip muffins than banana muffins. After she gave 0.6 of the chocolate chip muffins to Victoria and
14 of the banana muffins, she was left with 74 more banana muffins than chocolate chip muffins. How many muffins did she bake?
|
Chocolate Chip muffins |
Banana muffins |
Comparing chocolate chip muffins and banana muffins at first |
|
24 more |
Before
|
5x4 = 20 |
4x5 = 20 u |
+ 24 |
Change
|
- 3x4 = - 12 u |
- 1x5 = - 5 u |
- 6 |
After
|
2x4 = 8 u |
3x5 = 15 u |
+ 18 |
Comparing chocolate chip muffins and banana muffins in the end |
|
74 more
|
0.6 =
610 =
3514 x 24 = 6
24 - 6 = 18
If Auntie Ivory baked another 74 chocolate chip muffins, there would be equal number of banana muffins and chocolate chip muffins in the end.
15 u + 18 = 8 u + 74
15 u - 8 u = 74 - 18
7 u = 56
1 u = 56 ÷ 7 = 8
Total muffins that Auntie Ivory baked
= 20 u + 24 + 20 u
= 40 u + 24
= 40 x 8 + 24
= 320 + 24
= 344
Answer(s): 344