Auntie Vanessa baked 90 more chocolate chip muffins than cheese muffins. After she gave
16 of the chocolate chip muffins and 0.8 of the cheese muffins to Shannon, she was left with 132 fewer cheese muffins than chocolate chip muffins. How many muffins did she bake?
|
Chocolate Chip muffins |
Cheese muffins |
Comparing chocolate chip muffins and cheese muffins at first |
90 more |
|
Before
|
6x5 = 30 u |
+ 90 |
5x6 = 30 u |
Change
|
- 1x5 = - 5 u |
- 15 |
- 4x6 = - 24 u |
After
|
5x5 = 25 u |
+ 75 |
1x6 = 6 u |
Comparing chocolate chip muffins and cheese muffins in the end |
132 more
|
|
16 x 90 = 15
90 - 15 = 75
0.8 =
810 =
45If Auntie Vanessa baked another 132 cheese muffins, there would be equal number of chocolate chip muffins and cheese muffins in the end.
25 u + 75 = 6 u + 132
25 u - 6 u = 132 - 75
19 u = 57
1 u = 57 ÷ 19 = 3
Total muffins that Auntie Vanessa baked
= 30 u + 90 + 30 u
= 60 u + 90
= 60 x 3 + 90
= 180 + 90
= 270
Answer(s): 270