Auntie Xylia baked 84 less vanilla muffins than chocolate chip muffins. After she gave 0.6 of the vanilla muffins to Cindy and
37 of the chocolate chip muffins, she was left with 60 more chocolate chip muffins than vanilla muffins. How many muffins did she bake?
|
Vanilla muffins |
Chocolate Chip muffins |
Comparing vanilla muffins and chocolate chip muffins at first |
|
84 more |
Before
|
5x7 = 35 |
7x5 = 35 u |
+ 84 |
Change
|
- 3x7 = - 21 u |
- 3x5 = - 15 u |
- 36 |
After
|
2x7 = 14 u |
4x5 = 20 u |
+ 48 |
Comparing vanilla muffins and chocolate chip muffins in the end |
|
60 more
|
0.6 =
610 =
3537 x 84 = 36
84 - 36 = 48
If Auntie Xylia baked another 60 vanilla muffins, there would be equal number of chocolate chip muffins and vanilla muffins in the end.
20 u + 48 = 14 u + 60
20 u - 14 u = 60 - 48
6 u = 12
1 u = 12 ÷ 6 = 2
Total muffins that Auntie Xylia baked
= 35 u + 84 + 35 u
= 70 u + 84
= 70 x 2 + 84
= 140 + 84
= 224
Answer(s): 224