Auntie Kathy baked 70 more cheese muffins than blueberry muffins. After she gave
17 of the cheese muffins and 0.6 of the blueberry muffins to Diana, she was left with 172 fewer blueberry muffins than cheese muffins. How many muffins did she bake?
| |
Cheese muffins |
Blueberry muffins |
Comparing cheese muffins
and blueberry muffins
at first |
70 more |
|
Before
|
7x5 =
35 u |
+ 70 |
5x7 =
35 u |
Change
|
- 1x5 =
- 5 u |
- 10 |
- 3x7 =
- 21 u |
After
|
6x5 =
30 u |
+ 60 |
2x7 =
14 u |
Comparing cheese muffins
and blueberry muffins
in the end |
172 more
|
|
17 x 70 = 10
70 - 10 = 60
0.6 =
610 =
35If Auntie Kathy baked another 172 blueberry muffins, there would be equal number of cheese muffins and blueberry muffins in the end.
30 u + 60 = 14 u + 172
30 u - 14 u = 172 - 60
16 u = 112
1 u = 112 ÷ 16 = 7
Total muffins that Auntie Kathy baked
= 35 u + 70 + 35 u
= 70 u + 70
= 70 x 7 + 70
= 490 + 70
= 560
Answer(s): 560
