Auntie Risa baked 48 more cranberry muffins than cheese muffins. After she gave
14 of the cranberry muffins and 0.6 of the cheese muffins to Lucy, she was left with 50 fewer cheese muffins than cranberry muffins. How many muffins did she bake?
|
Cranberry muffins |
Cheese muffins |
Comparing cranberry muffins and cheese muffins at first |
48 more |
|
Before
|
4x5 = 20 u |
+ 48 |
5x4 = 20 u |
Change
|
- 1x5 = - 5 u |
- 12 |
- 3x4 = - 12 u |
After
|
3x5 = 15 u |
+ 36 |
2x4 = 8 u |
Comparing cranberry muffins and cheese muffins in the end |
50 more
|
|
14 x 48 = 12
48 - 12 = 36
0.6 =
610 =
35If Auntie Risa baked another 50 cheese muffins, there would be equal number of cranberry muffins and cheese muffins in the end.
15 u + 36 = 8 u + 50
15 u - 8 u = 50 - 36
7 u = 14
1 u = 14 ÷ 7 = 2
Total muffins that Auntie Risa baked
= 20 u + 48 + 20 u
= 40 u + 48
= 40 x 2 + 48
= 80 + 48
= 128
Answer(s): 128