Auntie Tina baked 42 more blueberry muffins than cranberry muffins. After she gave
37 of the blueberry muffins and 0.6 of the cranberry muffins to Yen, she was left with 48 fewer cranberry muffins than blueberry muffins. How many muffins did she bake?
|
Blueberry muffins |
Cranberry muffins |
Comparing blueberry muffins and cranberry muffins at first |
42 more |
|
Before
|
7x5 = 35 u |
+ 42 |
5x7 = 35 u |
Change
|
- 3x5 = - 15 u |
- 18 |
- 3x7 = - 21 u |
After
|
4x5 = 20 u |
+ 24 |
2x7 = 14 u |
Comparing blueberry muffins and cranberry muffins in the end |
48 more
|
|
37 x 42 = 18
42 - 18 = 24
0.6 =
610 =
35If Auntie Tina baked another 48 cranberry muffins, there would be equal number of blueberry muffins and cranberry muffins in the end.
20 u + 24 = 14 u + 48
20 u - 14 u = 48 - 24
6 u = 24
1 u = 24 ÷ 6 = 4
Total muffins that Auntie Tina baked
= 35 u + 42 + 35 u
= 70 u + 42
= 70 x 4 + 42
= 280 + 42
= 322
Answer(s): 322